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Finding the Third Proportional to 75,132,099 and 113,289,403.50

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Solution

The third proportional to 75,132,099 and 113,289,403.50 is: 170,825,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132,099 : 113,289,403.50 = 113,289,403.50 : x
  2. Step 2: Convert to fraction form
    75,132,099/113,289,403.50 = 113,289,403.50/x
  3. Step 3: Cross multiply
    75,132,099x = 113,289,403.50 × 113,289,403.50
  4. Step 4: Simplify right side
    75,132,099x = 12,834,488,945,385,812
  5. Step 5: Solve for x
    x = 12,834,488,945,385,812/75,132,099
  6. Step 6: Final answer
    x = 170,825,640.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.