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Finding the Third Proportional to 49,182.19 and 101,710.69

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Solution

The third proportional to 49,182.19 and 101,710.69 is: 210,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182.19 : 101,710.69 = 101,710.69 : x
  2. Step 2: Convert to fraction form
    49,182.19/101,710.69 = 101,710.69/x
  3. Step 3: Cross multiply
    49,182.19x = 101,710.69 × 101,710.69
  4. Step 4: Simplify right side
    49,182.19x = 10,345,063,951.72
  5. Step 5: Solve for x
    x = 10,345,063,951.72/49,182.19
  6. Step 6: Final answer
    x = 210,341.68

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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.