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Finding the Third Proportional to 49,358.53 and 106,598.53

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Solution

The third proportional to 49,358.53 and 106,598.53 is: 230,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,358.53 : 106,598.53 = 106,598.53 : x
  2. Step 2: Convert to fraction form
    49,358.53/106,598.53 = 106,598.53/x
  3. Step 3: Cross multiply
    49,358.53x = 106,598.53 × 106,598.53
  4. Step 4: Simplify right side
    49,358.53x = 11,363,246,864.66
  5. Step 5: Solve for x
    x = 11,363,246,864.66/49,358.53
  6. Step 6: Final answer
    x = 230,218.50

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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.