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Finding the Third Proportional to 108,864 and 230,941.13

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Solution

The third proportional to 108,864 and 230,941.13 is: 489,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,864 : 230,941.13 = 230,941.13 : x
  2. Step 2: Convert to fraction form
    108,864/230,941.13 = 230,941.13/x
  3. Step 3: Cross multiply
    108,864x = 230,941.13 × 230,941.13
  4. Step 4: Simplify right side
    108,864x = 53,333,803,216.27
  5. Step 5: Solve for x
    x = 53,333,803,216.27/108,864
  6. Step 6: Final answer
    x = 489,912.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.