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Finding the Third Proportional to 133,341,572 and 200,367,381

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Solution

The third proportional to 133,341,572 and 200,367,381 is: 301,084,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,572 : 200,367,381 = 200,367,381 : x
  2. Step 2: Convert to fraction form
    133,341,572/200,367,381 = 200,367,381/x
  3. Step 3: Cross multiply
    133,341,572x = 200,367,381 × 200,367,381
  4. Step 4: Simplify right side
    133,341,572x = 40,147,087,368,799,160
  5. Step 5: Solve for x
    x = 40,147,087,368,799,160/133,341,572
  6. Step 6: Final answer
    x = 301,084,551.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.