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Finding the Third Proportional to 109,148.44 and 238,587.38

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Solution

The third proportional to 109,148.44 and 238,587.38 is: 521,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,148.44 : 238,587.38 = 238,587.38 : x
  2. Step 2: Convert to fraction form
    109,148.44/238,587.38 = 238,587.38/x
  3. Step 3: Cross multiply
    109,148.44x = 238,587.38 × 238,587.38
  4. Step 4: Simplify right side
    109,148.44x = 56,923,935,509.39
  5. Step 5: Solve for x
    x = 56,923,935,509.39/109,148.44
  6. Step 6: Final answer
    x = 521,527.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.