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Finding the Third Proportional to 98,813 and 216,364

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Solution

The third proportional to 98,813 and 216,364 is: 473,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,813 : 216,364 = 216,364 : x
  2. Step 2: Convert to fraction form
    98,813/216,364 = 216,364/x
  3. Step 3: Cross multiply
    98,813x = 216,364 × 216,364
  4. Step 4: Simplify right side
    98,813x = 46,813,380,496
  5. Step 5: Solve for x
    x = 46,813,380,496/98,813
  6. Step 6: Final answer
    x = 473,757.30

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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.