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Finding the Third Proportional to 75,150,387 and 116,361,850.50

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Solution

The third proportional to 75,150,387 and 116,361,850.50 is: 180,173,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150,387 : 116,361,850.50 = 116,361,850.50 : x
  2. Step 2: Convert to fraction form
    75,150,387/116,361,850.50 = 116,361,850.50/x
  3. Step 3: Cross multiply
    75,150,387x = 116,361,850.50 × 116,361,850.50
  4. Step 4: Simplify right side
    75,150,387x = 13,540,080,251,784,350
  5. Step 5: Solve for x
    x = 13,540,080,251,784,350/75,150,387
  6. Step 6: Final answer
    x = 180,173,127.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.