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Finding the Third Proportional to 109,706,400 and 233,992,800

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Solution

The third proportional to 109,706,400 and 233,992,800 is: 499,083,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706,400 : 233,992,800 = 233,992,800 : x
  2. Step 2: Convert to fraction form
    109,706,400/233,992,800 = 233,992,800/x
  3. Step 3: Cross multiply
    109,706,400x = 233,992,800 × 233,992,800
  4. Step 4: Simplify right side
    109,706,400x = 54,752,630,451,840,000
  5. Step 5: Solve for x
    x = 54,752,630,451,840,000/109,706,400
  6. Step 6: Final answer
    x = 499,083,284.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.