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Finding the Third Proportional to 73,853,704 and 170,957,960.50

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Solution

The third proportional to 73,853,704 and 170,957,960.50 is: 395,736,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853,704 : 170,957,960.50 = 170,957,960.50 : x
  2. Step 2: Convert to fraction form
    73,853,704/170,957,960.50 = 170,957,960.50/x
  3. Step 3: Cross multiply
    73,853,704x = 170,957,960.50 × 170,957,960.50
  4. Step 4: Simplify right side
    73,853,704x = 29,226,624,258,319,560
  5. Step 5: Solve for x
    x = 29,226,624,258,319,560/73,853,704
  6. Step 6: Final answer
    x = 395,736,742.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.