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Finding the Third Proportional to 40,180,063.50 and 87,209,811

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Solution

The third proportional to 40,180,063.50 and 87,209,811 is: 189,286,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180,063.50 : 87,209,811 = 87,209,811 : x
  2. Step 2: Convert to fraction form
    40,180,063.50/87,209,811 = 87,209,811/x
  3. Step 3: Cross multiply
    40,180,063.50x = 87,209,811 × 87,209,811
  4. Step 4: Simplify right side
    40,180,063.50x = 7,605,551,134,655,721
  5. Step 5: Solve for x
    x = 7,605,551,134,655,721/40,180,063.50
  6. Step 6: Final answer
    x = 189,286,687.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.