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Finding the Third Proportional to 48,637.03 and 106,500.47

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Solution

The third proportional to 48,637.03 and 106,500.47 is: 233,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,637.03 : 106,500.47 = 106,500.47 : x
  2. Step 2: Convert to fraction form
    48,637.03/106,500.47 = 106,500.47/x
  3. Step 3: Cross multiply
    48,637.03x = 106,500.47 × 106,500.47
  4. Step 4: Simplify right side
    48,637.03x = 11,342,349,843.97
  5. Step 5: Solve for x
    x = 11,342,349,843.97/48,637.03
  6. Step 6: Final answer
    x = 233,203.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.