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Finding the Third Proportional to 39,189,723.75 and 83,051,588.25

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Solution

The third proportional to 39,189,723.75 and 83,051,588.25 is: 176,004,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,189,723.75 : 83,051,588.25 = 83,051,588.25 : x
  2. Step 2: Convert to fraction form
    39,189,723.75/83,051,588.25 = 83,051,588.25/x
  3. Step 3: Cross multiply
    39,189,723.75x = 83,051,588.25 × 83,051,588.25
  4. Step 4: Simplify right side
    39,189,723.75x = 6,897,566,310,847,538
  5. Step 5: Solve for x
    x = 6,897,566,310,847,538/39,189,723.75
  6. Step 6: Final answer
    x = 176,004,463.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.