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Finding the Third Proportional to 73,160,305.01 and 170,713,273.15

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Solution

The third proportional to 73,160,305.01 and 170,713,273.15 is: 398,344,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,160,305.01 : 170,713,273.15 = 170,713,273.15 : x
  2. Step 2: Convert to fraction form
    73,160,305.01/170,713,273.15 = 170,713,273.15/x
  3. Step 3: Cross multiply
    73,160,305.01x = 170,713,273.15 × 170,713,273.15
  4. Step 4: Simplify right side
    73,160,305.01x = 29,143,021,629,050,468
  5. Step 5: Solve for x
    x = 29,143,021,629,050,468/73,160,305.01
  6. Step 6: Final answer
    x = 398,344,725.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.