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Finding the Third Proportional to 99,413,175 and 209,128,554

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Solution

The third proportional to 99,413,175 and 209,128,554 is: 439,929,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,413,175 : 209,128,554 = 209,128,554 : x
  2. Step 2: Convert to fraction form
    99,413,175/209,128,554 = 209,128,554/x
  3. Step 3: Cross multiply
    99,413,175x = 209,128,554 × 209,128,554
  4. Step 4: Simplify right side
    99,413,175x = 43,734,752,098,130,912
  5. Step 5: Solve for x
    x = 43,734,752,098,130,912/99,413,175
  6. Step 6: Final answer
    x = 439,929,135.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.