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Finding the Third Proportional to 99,820 and 218,396

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Solution

The third proportional to 99,820 and 218,396 is: 477,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820 : 218,396 = 218,396 : x
  2. Step 2: Convert to fraction form
    99,820/218,396 = 218,396/x
  3. Step 3: Cross multiply
    99,820x = 218,396 × 218,396
  4. Step 4: Simplify right side
    99,820x = 47,696,812,816
  5. Step 5: Solve for x
    x = 47,696,812,816/99,820
  6. Step 6: Final answer
    x = 477,828.22

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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.