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Finding the Third Proportional to 39,947,191.88 and 85,961,658.38

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Solution

The third proportional to 39,947,191.88 and 85,961,658.38 is: 184,979,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,947,191.88 : 85,961,658.38 = 85,961,658.38 : x
  2. Step 2: Convert to fraction form
    39,947,191.88/85,961,658.38 = 85,961,658.38/x
  3. Step 3: Cross multiply
    39,947,191.88x = 85,961,658.38 × 85,961,658.38
  4. Step 4: Simplify right side
    39,947,191.88x = 7,389,406,710,580,208
  5. Step 5: Solve for x
    x = 7,389,406,710,580,208/39,947,191.88
  6. Step 6: Final answer
    x = 184,979,378.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.