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Finding the Third Proportional to 48,369.66 and 100,155.23

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Solution

The third proportional to 48,369.66 and 100,155.23 is: 207,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,369.66 : 100,155.23 = 100,155.23 : x
  2. Step 2: Convert to fraction form
    48,369.66/100,155.23 = 100,155.23/x
  3. Step 3: Cross multiply
    48,369.66x = 100,155.23 × 100,155.23
  4. Step 4: Simplify right side
    48,369.66x = 10,031,070,972.71
  5. Step 5: Solve for x
    x = 10,031,070,972.71/48,369.66
  6. Step 6: Final answer
    x = 207,383.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.