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Finding the Third Proportional to 156,318,412.50 and 229,930,843.50

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Solution

The third proportional to 156,318,412.50 and 229,930,843.50 is: 338,208,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,318,412.50 : 229,930,843.50 = 229,930,843.50 : x
  2. Step 2: Convert to fraction form
    156,318,412.50/229,930,843.50 = 229,930,843.50/x
  3. Step 3: Cross multiply
    156,318,412.50x = 229,930,843.50 × 229,930,843.50
  4. Step 4: Simplify right side
    156,318,412.50x = 52,868,192,792,621,496
  5. Step 5: Solve for x
    x = 52,868,192,792,621,496/156,318,412.50
  6. Step 6: Final answer
    x = 338,208,352.73

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Why These Related Problems?

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