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Finding the Third Proportional to 66,837.66 and 148,618.13

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Solution

The third proportional to 66,837.66 and 148,618.13 is: 330,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,837.66 : 148,618.13 = 148,618.13 : x
  2. Step 2: Convert to fraction form
    66,837.66/148,618.13 = 148,618.13/x
  3. Step 3: Cross multiply
    66,837.66x = 148,618.13 × 148,618.13
  4. Step 4: Simplify right side
    66,837.66x = 22,087,347,078.52
  5. Step 5: Solve for x
    x = 22,087,347,078.52/66,837.66
  6. Step 6: Final answer
    x = 330,462.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.