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Finding the Third Proportional to 98,786 and 216,310

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Solution

The third proportional to 98,786 and 216,310 is: 473,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,786 : 216,310 = 216,310 : x
  2. Step 2: Convert to fraction form
    98,786/216,310 = 216,310/x
  3. Step 3: Cross multiply
    98,786x = 216,310 × 216,310
  4. Step 4: Simplify right side
    98,786x = 46,790,016,100
  5. Step 5: Solve for x
    x = 46,790,016,100/98,786
  6. Step 6: Final answer
    x = 473,650.28

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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.