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Finding the Third Proportional to 39,884,203.50 and 86,756,500.50

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Solution

The third proportional to 39,884,203.50 and 86,756,500.50 is: 188,713,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884,203.50 : 86,756,500.50 = 86,756,500.50 : x
  2. Step 2: Convert to fraction form
    39,884,203.50/86,756,500.50 = 86,756,500.50/x
  3. Step 3: Cross multiply
    39,884,203.50x = 86,756,500.50 × 86,756,500.50
  4. Step 4: Simplify right side
    39,884,203.50x = 7,526,690,379,006,500
  5. Step 5: Solve for x
    x = 7,526,690,379,006,500/39,884,203.50
  6. Step 6: Final answer
    x = 188,713,568.74

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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.