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Finding the Third Proportional to 105,841.78 and 154,311.64

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Solution

The third proportional to 105,841.78 and 154,311.64 is: 224,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841.78 : 154,311.64 = 154,311.64 : x
  2. Step 2: Convert to fraction form
    105,841.78/154,311.64 = 154,311.64/x
  3. Step 3: Cross multiply
    105,841.78x = 154,311.64 × 154,311.64
  4. Step 4: Simplify right side
    105,841.78x = 23,812,083,637.94
  5. Step 5: Solve for x
    x = 23,812,083,637.94/105,841.78
  6. Step 6: Final answer
    x = 224,978.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.