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Finding the Third Proportional to 108,966 and 230,915.63

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Solution

The third proportional to 108,966 and 230,915.63 is: 489,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,966 : 230,915.63 = 230,915.63 : x
  2. Step 2: Convert to fraction form
    108,966/230,915.63 = 230,915.63/x
  3. Step 3: Cross multiply
    108,966x = 230,915.63 × 230,915.63
  4. Step 4: Simplify right side
    108,966x = 53,322,025,869.14
  5. Step 5: Solve for x
    x = 53,322,025,869.14/108,966
  6. Step 6: Final answer
    x = 489,345.54

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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.