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Finding the Third Proportional to 48,652.31 and 106,108.31

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Solution

The third proportional to 48,652.31 and 106,108.31 is: 231,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.31 : 106,108.31 = 106,108.31 : x
  2. Step 2: Convert to fraction form
    48,652.31/106,108.31 = 106,108.31/x
  3. Step 3: Cross multiply
    48,652.31x = 106,108.31 × 106,108.31
  4. Step 4: Simplify right side
    48,652.31x = 11,258,973,981.60
  5. Step 5: Solve for x
    x = 11,258,973,981.60/48,652.31
  6. Step 6: Final answer
    x = 231,417.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.