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Finding the Third Proportional to 98,216 and 215,548

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Solution

The third proportional to 98,216 and 215,548 is: 473,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,216 : 215,548 = 215,548 : x
  2. Step 2: Convert to fraction form
    98,216/215,548 = 215,548/x
  3. Step 3: Cross multiply
    98,216x = 215,548 × 215,548
  4. Step 4: Simplify right side
    98,216x = 46,460,940,304
  5. Step 5: Solve for x
    x = 46,460,940,304/98,216
  6. Step 6: Final answer
    x = 473,048.59

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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.