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Finding the Third Proportional to 73,722,708 and 159,712,843.50

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Solution

The third proportional to 73,722,708 and 159,712,843.50 is: 346,001,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722,708 : 159,712,843.50 = 159,712,843.50 : x
  2. Step 2: Convert to fraction form
    73,722,708/159,712,843.50 = 159,712,843.50/x
  3. Step 3: Cross multiply
    73,722,708x = 159,712,843.50 × 159,712,843.50
  4. Step 4: Simplify right side
    73,722,708x = 25,508,192,378,855,492
  5. Step 5: Solve for x
    x = 25,508,192,378,855,492/73,722,708
  6. Step 6: Final answer
    x = 346,001,836.76

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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.