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Finding the Third Proportional to 229,814,306 and 491,479,108

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Solution

The third proportional to 229,814,306 and 491,479,108 is: 1,051,073,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814,306 : 491,479,108 = 491,479,108 : x
  2. Step 2: Convert to fraction form
    229,814,306/491,479,108 = 491,479,108/x
  3. Step 3: Cross multiply
    229,814,306x = 491,479,108 × 491,479,108
  4. Step 4: Simplify right side
    229,814,306x = 241,551,713,600,475,648
  5. Step 5: Solve for x
    x = 241,551,713,600,475,648/229,814,306
  6. Step 6: Final answer
    x = 1,051,073,441.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.