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Finding the Third Proportional to 98,228 and 215,572

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Solution

The third proportional to 98,228 and 215,572 is: 473,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,228 : 215,572 = 215,572 : x
  2. Step 2: Convert to fraction form
    98,228/215,572 = 215,572/x
  3. Step 3: Cross multiply
    98,228x = 215,572 × 215,572
  4. Step 4: Simplify right side
    98,228x = 46,471,287,184
  5. Step 5: Solve for x
    x = 46,471,287,184/98,228
  6. Step 6: Final answer
    x = 473,096.14

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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.