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Finding the Third Proportional to 57,113,165 and 87,008,191.50

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Solution

The third proportional to 57,113,165 and 87,008,191.50 is: 132,551,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113,165 : 87,008,191.50 = 87,008,191.50 : x
  2. Step 2: Convert to fraction form
    57,113,165/87,008,191.50 = 87,008,191.50/x
  3. Step 3: Cross multiply
    57,113,165x = 87,008,191.50 × 87,008,191.50
  4. Step 4: Simplify right side
    57,113,165x = 7,570,425,388,100,672
  5. Step 5: Solve for x
    x = 7,570,425,388,100,672/57,113,165
  6. Step 6: Final answer
    x = 132,551,319.61

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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.