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Finding the Third Proportional to 98,823.38 and 216,853.88

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Solution

The third proportional to 98,823.38 and 216,853.88 is: 475,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823.38 : 216,853.88 = 216,853.88 : x
  2. Step 2: Convert to fraction form
    98,823.38/216,853.88 = 216,853.88/x
  3. Step 3: Cross multiply
    98,823.38x = 216,853.88 × 216,853.88
  4. Step 4: Simplify right side
    98,823.38x = 47,025,603,102.52
  5. Step 5: Solve for x
    x = 47,025,603,102.52/98,823.38
  6. Step 6: Final answer
    x = 475,855.06

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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.