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Finding the Third Proportional to 289,438,304,543.81 and 437,880,029,999.06

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Solution

The third proportional to 289,438,304,543.81 and 437,880,029,999.06 is: 662,451,782,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,438,304,543.81 : 437,880,029,999.06 = 437,880,029,999.06 : x
  2. Step 2: Convert to fraction form
    289,438,304,543.81/437,880,029,999.06 = 437,880,029,999.06/x
  3. Step 3: Cross multiply
    289,438,304,543.81x = 437,880,029,999.06 × 437,880,029,999.06
  4. Step 4: Simplify right side
    289,438,304,543.81x = 191,738,920,671,977,681,190,912
  5. Step 5: Solve for x
    x = 191,738,920,671,977,681,190,912/289,438,304,543.81
  6. Step 6: Final answer
    x = 662,451,782,165.40

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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.