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Finding the Third Proportional to 110,098.93 and 234,618.40

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Solution

The third proportional to 110,098.93 and 234,618.40 is: 499,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,098.93 : 234,618.40 = 234,618.40 : x
  2. Step 2: Convert to fraction form
    110,098.93/234,618.40 = 234,618.40/x
  3. Step 3: Cross multiply
    110,098.93x = 234,618.40 × 234,618.40
  4. Step 4: Simplify right side
    110,098.93x = 55,045,792,885.38
  5. Step 5: Solve for x
    x = 55,045,792,885.38/110,098.93
  6. Step 6: Final answer
    x = 499,966.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.