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Finding the Third Proportional to 76,854,282 and 167,354,451

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Solution

The third proportional to 76,854,282 and 167,354,451 is: 364,423,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854,282 : 167,354,451 = 167,354,451 : x
  2. Step 2: Convert to fraction form
    76,854,282/167,354,451 = 167,354,451/x
  3. Step 3: Cross multiply
    76,854,282x = 167,354,451 × 167,354,451
  4. Step 4: Simplify right side
    76,854,282x = 28,007,512,269,511,400
  5. Step 5: Solve for x
    x = 28,007,512,269,511,400/76,854,282
  6. Step 6: Final answer
    x = 364,423,575.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.