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Finding the Third Proportional to 156,298,344 and 229,765,500

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Solution

The third proportional to 156,298,344 and 229,765,500 is: 337,765,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,298,344 : 229,765,500 = 229,765,500 : x
  2. Step 2: Convert to fraction form
    156,298,344/229,765,500 = 229,765,500/x
  3. Step 3: Cross multiply
    156,298,344x = 229,765,500 × 229,765,500
  4. Step 4: Simplify right side
    156,298,344x = 52,792,184,990,250,000
  5. Step 5: Solve for x
    x = 52,792,184,990,250,000/156,298,344
  6. Step 6: Final answer
    x = 337,765,478.76

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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.