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Finding the Third Proportional to 289,438,304,543.50 and 437,880,029,998.50

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Solution

The third proportional to 289,438,304,543.50 and 437,880,029,998.50 is: 662,451,782,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,438,304,543.50 : 437,880,029,998.50 = 437,880,029,998.50 : x
  2. Step 2: Convert to fraction form
    289,438,304,543.50/437,880,029,998.50 = 437,880,029,998.50/x
  3. Step 3: Cross multiply
    289,438,304,543.50x = 437,880,029,998.50 × 437,880,029,998.50
  4. Step 4: Simplify right side
    289,438,304,543.50x = 191,738,920,671,487,249,612,800
  5. Step 5: Solve for x
    x = 191,738,920,671,487,249,612,800/289,438,304,543.50
  6. Step 6: Final answer
    x = 662,451,782,164.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.