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Finding the Third Proportional to 156,293,948 and 229,758,026

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Solution

The third proportional to 156,293,948 and 229,758,026 is: 337,753,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,293,948 : 229,758,026 = 229,758,026 : x
  2. Step 2: Convert to fraction form
    156,293,948/229,758,026 = 229,758,026/x
  3. Step 3: Cross multiply
    156,293,948x = 229,758,026 × 229,758,026
  4. Step 4: Simplify right side
    156,293,948x = 52,788,750,511,416,672
  5. Step 5: Solve for x
    x = 52,788,750,511,416,672/156,293,948
  6. Step 6: Final answer
    x = 337,753,004.43

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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.