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Finding the Third Proportional to 109,337.63 and 178,538.63

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Solution

The third proportional to 109,337.63 and 178,538.63 is: 291,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,337.63 : 178,538.63 = 178,538.63 : x
  2. Step 2: Convert to fraction form
    109,337.63/178,538.63 = 178,538.63/x
  3. Step 3: Cross multiply
    109,337.63x = 178,538.63 × 178,538.63
  4. Step 4: Simplify right side
    109,337.63x = 31,876,040,616.89
  5. Step 5: Solve for x
    x = 31,876,040,616.89/109,337.63
  6. Step 6: Final answer
    x = 291,537.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.