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Finding the Third Proportional to 98,473 and 216,658

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Solution

The third proportional to 98,473 and 216,658 is: 476,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,473 : 216,658 = 216,658 : x
  2. Step 2: Convert to fraction form
    98,473/216,658 = 216,658/x
  3. Step 3: Cross multiply
    98,473x = 216,658 × 216,658
  4. Step 4: Simplify right side
    98,473x = 46,940,688,964
  5. Step 5: Solve for x
    x = 46,940,688,964/98,473
  6. Step 6: Final answer
    x = 476,685.88

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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.