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Finding the Third Proportional to 231,162,107 and 348,702,718

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Solution

The third proportional to 231,162,107 and 348,702,718 is: 526,010,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,162,107 : 348,702,718 = 348,702,718 : x
  2. Step 2: Convert to fraction form
    231,162,107/348,702,718 = 348,702,718/x
  3. Step 3: Cross multiply
    231,162,107x = 348,702,718 × 348,702,718
  4. Step 4: Simplify right side
    231,162,107x = 121,593,585,540,587,520
  5. Step 5: Solve for x
    x = 121,593,585,540,587,520/231,162,107
  6. Step 6: Final answer
    x = 526,010,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.