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Finding the Third Proportional to 39,056,919 and 85,057,198.50

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Solution

The third proportional to 39,056,919 and 85,057,198.50 is: 185,235,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,056,919 : 85,057,198.50 = 85,057,198.50 : x
  2. Step 2: Convert to fraction form
    39,056,919/85,057,198.50 = 85,057,198.50/x
  3. Step 3: Cross multiply
    39,056,919x = 85,057,198.50 × 85,057,198.50
  4. Step 4: Simplify right side
    39,056,919x = 7,234,727,016,668,402
  5. Step 5: Solve for x
    x = 7,234,727,016,668,402/39,056,919
  6. Step 6: Final answer
    x = 185,235,476.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.