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Finding the Third Proportional to 100,327,534 and 155,056,845

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Solution

The third proportional to 100,327,534 and 155,056,845 is: 239,641,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,327,534 : 155,056,845 = 155,056,845 : x
  2. Step 2: Convert to fraction form
    100,327,534/155,056,845 = 155,056,845/x
  3. Step 3: Cross multiply
    100,327,534x = 155,056,845 × 155,056,845
  4. Step 4: Simplify right side
    100,327,534x = 24,042,625,181,354,024
  5. Step 5: Solve for x
    x = 24,042,625,181,354,024/100,327,534
  6. Step 6: Final answer
    x = 239,641,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.