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Finding the Third Proportional to 87,746.06 and 189,502.31

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Solution

The third proportional to 87,746.06 and 189,502.31 is: 409,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,746.06 : 189,502.31 = 189,502.31 : x
  2. Step 2: Convert to fraction form
    87,746.06/189,502.31 = 189,502.31/x
  3. Step 3: Cross multiply
    87,746.06x = 189,502.31 × 189,502.31
  4. Step 4: Simplify right side
    87,746.06x = 35,911,126,442.85
  5. Step 5: Solve for x
    x = 35,911,126,442.85/87,746.06
  6. Step 6: Final answer
    x = 409,261.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.