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Finding the Third Proportional to 98,482 and 216,646

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Solution

The third proportional to 98,482 and 216,646 is: 476,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,482 : 216,646 = 216,646 : x
  2. Step 2: Convert to fraction form
    98,482/216,646 = 216,646/x
  3. Step 3: Cross multiply
    98,482x = 216,646 × 216,646
  4. Step 4: Simplify right side
    98,482x = 46,935,489,316
  5. Step 5: Solve for x
    x = 46,935,489,316/98,482
  6. Step 6: Final answer
    x = 476,589.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.