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Finding the Third Proportional to 98,472 and 216,656

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Solution

The third proportional to 98,472 and 216,656 is: 476,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472 : 216,656 = 216,656 : x
  2. Step 2: Convert to fraction form
    98,472/216,656 = 216,656/x
  3. Step 3: Cross multiply
    98,472x = 216,656 × 216,656
  4. Step 4: Simplify right side
    98,472x = 46,939,822,336
  5. Step 5: Solve for x
    x = 46,939,822,336/98,472
  6. Step 6: Final answer
    x = 476,681.92

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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.