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Finding the Third Proportional to 67,918,972.50 and 105,914,067.75

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Solution

The third proportional to 67,918,972.50 and 105,914,067.75 is: 165,164,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,918,972.50 : 105,914,067.75 = 105,914,067.75 : x
  2. Step 2: Convert to fraction form
    67,918,972.50/105,914,067.75 = 105,914,067.75/x
  3. Step 3: Cross multiply
    67,918,972.50x = 105,914,067.75 × 105,914,067.75
  4. Step 4: Simplify right side
    67,918,972.50x = 11,217,789,747,351,590
  5. Step 5: Solve for x
    x = 11,217,789,747,351,590/67,918,972.50
  6. Step 6: Final answer
    x = 165,164,302.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.