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Finding the Third Proportional to 98,832 and 215,808

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Solution

The third proportional to 98,832 and 215,808 is: 471,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832 : 215,808 = 215,808 : x
  2. Step 2: Convert to fraction form
    98,832/215,808 = 215,808/x
  3. Step 3: Cross multiply
    98,832x = 215,808 × 215,808
  4. Step 4: Simplify right side
    98,832x = 46,573,092,864
  5. Step 5: Solve for x
    x = 46,573,092,864/98,832
  6. Step 6: Final answer
    x = 471,234.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.