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Finding the Third Proportional to 172,058,065.31 and 263,024,508.66

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Solution

The third proportional to 172,058,065.31 and 263,024,508.66 is: 402,084,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058,065.31 : 263,024,508.66 = 263,024,508.66 : x
  2. Step 2: Convert to fraction form
    172,058,065.31/263,024,508.66 = 263,024,508.66/x
  3. Step 3: Cross multiply
    172,058,065.31x = 263,024,508.66 × 263,024,508.66
  4. Step 4: Simplify right side
    172,058,065.31x = 69,181,892,153,856,464
  5. Step 5: Solve for x
    x = 69,181,892,153,856,464/172,058,065.31
  6. Step 6: Final answer
    x = 402,084,563.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.