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Finding the Third Proportional to 57,115,216.50 and 87,011,998.50

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Solution

The third proportional to 57,115,216.50 and 87,011,998.50 is: 132,558,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115,216.50 : 87,011,998.50 = 87,011,998.50 : x
  2. Step 2: Convert to fraction form
    57,115,216.50/87,011,998.50 = 87,011,998.50/x
  3. Step 3: Cross multiply
    57,115,216.50x = 87,011,998.50 × 87,011,998.50
  4. Step 4: Simplify right side
    57,115,216.50x = 7,571,087,882,964,002
  5. Step 5: Solve for x
    x = 7,571,087,882,964,002/57,115,216.50
  6. Step 6: Final answer
    x = 132,558,157.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.