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Finding the Third Proportional to 99,810 and 218,943.75

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Solution

The third proportional to 99,810 and 218,943.75 is: 480,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810 : 218,943.75 = 218,943.75 : x
  2. Step 2: Convert to fraction form
    99,810/218,943.75 = 218,943.75/x
  3. Step 3: Cross multiply
    99,810x = 218,943.75 × 218,943.75
  4. Step 4: Simplify right side
    99,810x = 47,936,365,664.06
  5. Step 5: Solve for x
    x = 47,936,365,664.06/99,810
  6. Step 6: Final answer
    x = 480,276.18

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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.