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Finding the Third Proportional to 97,842,516.75 and 209,690,883

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Solution

The third proportional to 97,842,516.75 and 209,690,883 is: 449,398,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,516.75 : 209,690,883 = 209,690,883 : x
  2. Step 2: Convert to fraction form
    97,842,516.75/209,690,883 = 209,690,883/x
  3. Step 3: Cross multiply
    97,842,516.75x = 209,690,883 × 209,690,883
  4. Step 4: Simplify right side
    97,842,516.75x = 43,970,266,413,319,688
  5. Step 5: Solve for x
    x = 43,970,266,413,319,688/97,842,516.75
  6. Step 6: Final answer
    x = 449,398,358.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.