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Finding the Third Proportional to 156,293,940 and 229,758,014

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Solution

The third proportional to 156,293,940 and 229,758,014 is: 337,752,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,293,940 : 229,758,014 = 229,758,014 : x
  2. Step 2: Convert to fraction form
    156,293,940/229,758,014 = 229,758,014/x
  3. Step 3: Cross multiply
    156,293,940x = 229,758,014 × 229,758,014
  4. Step 4: Simplify right side
    156,293,940x = 52,788,744,997,224,192
  5. Step 5: Solve for x
    x = 52,788,744,997,224,192/156,293,940
  6. Step 6: Final answer
    x = 337,752,986.44

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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.