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Finding the Third Proportional to 229,814,318 and 491,479,132

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Solution

The third proportional to 229,814,318 and 491,479,132 is: 1,051,073,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814,318 : 491,479,132 = 491,479,132 : x
  2. Step 2: Convert to fraction form
    229,814,318/491,479,132 = 491,479,132/x
  3. Step 3: Cross multiply
    229,814,318x = 491,479,132 × 491,479,132
  4. Step 4: Simplify right side
    229,814,318x = 241,551,737,191,473,408
  5. Step 5: Solve for x
    x = 241,551,737,191,473,408/229,814,318
  6. Step 6: Final answer
    x = 1,051,073,489.65

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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.