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Finding the Third Proportional to 48,657.88 and 105,623.31

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Solution

The third proportional to 48,657.88 and 105,623.31 is: 229,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.88 : 105,623.31 = 105,623.31 : x
  2. Step 2: Convert to fraction form
    48,657.88/105,623.31 = 105,623.31/x
  3. Step 3: Cross multiply
    48,657.88x = 105,623.31 × 105,623.31
  4. Step 4: Simplify right side
    48,657.88x = 11,156,284,143.47
  5. Step 5: Solve for x
    x = 11,156,284,143.47/48,657.88
  6. Step 6: Final answer
    x = 229,280.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.