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Finding the Third Proportional to 40,488,700.50 and 87,214,101.75

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Solution

The third proportional to 40,488,700.50 and 87,214,101.75 is: 187,862,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,488,700.50 : 87,214,101.75 = 87,214,101.75 : x
  2. Step 2: Convert to fraction form
    40,488,700.50/87,214,101.75 = 87,214,101.75/x
  3. Step 3: Cross multiply
    40,488,700.50x = 87,214,101.75 × 87,214,101.75
  4. Step 4: Simplify right side
    40,488,700.50x = 7,606,299,544,059,353
  5. Step 5: Solve for x
    x = 7,606,299,544,059,353/40,488,700.50
  6. Step 6: Final answer
    x = 187,862,278.86

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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.