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Finding the Third Proportional to 38,948,890.50 and 84,361,084.88

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Solution

The third proportional to 38,948,890.50 and 84,361,084.88 is: 182,721,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948,890.50 : 84,361,084.88 = 84,361,084.88 : x
  2. Step 2: Convert to fraction form
    38,948,890.50/84,361,084.88 = 84,361,084.88/x
  3. Step 3: Cross multiply
    38,948,890.50x = 84,361,084.88 × 84,361,084.88
  4. Step 4: Simplify right side
    38,948,890.50x = 7,116,792,641,286,954
  5. Step 5: Solve for x
    x = 7,116,792,641,286,954/38,948,890.50
  6. Step 6: Final answer
    x = 182,721,318.89

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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.