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Finding the Third Proportional to 83,306.81 and 178,925.63

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Solution

The third proportional to 83,306.81 and 178,925.63 is: 384,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,306.81 : 178,925.63 = 178,925.63 : x
  2. Step 2: Convert to fraction form
    83,306.81/178,925.63 = 178,925.63/x
  3. Step 3: Cross multiply
    83,306.81x = 178,925.63 × 178,925.63
  4. Step 4: Simplify right side
    83,306.81x = 32,014,379,281.64
  5. Step 5: Solve for x
    x = 32,014,379,281.64/83,306.81
  6. Step 6: Final answer
    x = 384,294.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.