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Finding the Third Proportional to 109,030.13 and 231,008.63

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Solution

The third proportional to 109,030.13 and 231,008.63 is: 489,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,030.13 : 231,008.63 = 231,008.63 : x
  2. Step 2: Convert to fraction form
    109,030.13/231,008.63 = 231,008.63/x
  3. Step 3: Cross multiply
    109,030.13x = 231,008.63 × 231,008.63
  4. Step 4: Simplify right side
    109,030.13x = 53,364,984,824.39
  5. Step 5: Solve for x
    x = 53,364,984,824.39/109,030.13
  6. Step 6: Final answer
    x = 489,451.74

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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.