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Finding the Third Proportional to 99,283,414 and 216,443,427

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Solution

The third proportional to 99,283,414 and 216,443,427 is: 471,858,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,283,414 : 216,443,427 = 216,443,427 : x
  2. Step 2: Convert to fraction form
    99,283,414/216,443,427 = 216,443,427/x
  3. Step 3: Cross multiply
    99,283,414x = 216,443,427 × 216,443,427
  4. Step 4: Simplify right side
    99,283,414x = 46,847,757,091,504,328
  5. Step 5: Solve for x
    x = 46,847,757,091,504,328/99,283,414
  6. Step 6: Final answer
    x = 471,858,845.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.