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Finding the Third Proportional to 148,689,489 and 322,086,567

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Solution

The third proportional to 148,689,489 and 322,086,567 is: 697,693,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,489 : 322,086,567 = 322,086,567 : x
  2. Step 2: Convert to fraction form
    148,689,489/322,086,567 = 322,086,567/x
  3. Step 3: Cross multiply
    148,689,489x = 322,086,567 × 322,086,567
  4. Step 4: Simplify right side
    148,689,489x = 103,739,756,641,845,488
  5. Step 5: Solve for x
    x = 103,739,756,641,845,488/148,689,489
  6. Step 6: Final answer
    x = 697,693,948.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.