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Finding the Third Proportional to 73,303,929 and 107,712,046.50

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Solution

The third proportional to 73,303,929 and 107,712,046.50 is: 158,270,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,303,929 : 107,712,046.50 = 107,712,046.50 : x
  2. Step 2: Convert to fraction form
    73,303,929/107,712,046.50 = 107,712,046.50/x
  3. Step 3: Cross multiply
    73,303,929x = 107,712,046.50 × 107,712,046.50
  4. Step 4: Simplify right side
    73,303,929x = 11,601,884,961,218,162
  5. Step 5: Solve for x
    x = 11,601,884,961,218,162/73,303,929
  6. Step 6: Final answer
    x = 158,270,983.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.