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Finding the Third Proportional to 156,318,378.75 and 229,930,795.13

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Solution

The third proportional to 156,318,378.75 and 229,930,795.13 is: 338,208,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,318,378.75 : 229,930,795.13 = 229,930,795.13 : x
  2. Step 2: Convert to fraction form
    156,318,378.75/229,930,795.13 = 229,930,795.13/x
  3. Step 3: Cross multiply
    156,318,378.75x = 229,930,795.13 × 229,930,795.13
  4. Step 4: Simplify right side
    156,318,378.75x = 52,868,170,546,814,720
  5. Step 5: Solve for x
    x = 52,868,170,546,814,720/156,318,378.75
  6. Step 6: Final answer
    x = 338,208,283.44

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.