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Finding the Third Proportional to 94,833.91 and 146,830.85

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Solution

The third proportional to 94,833.91 and 146,830.85 is: 227,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,833.91 : 146,830.85 = 146,830.85 : x
  2. Step 2: Convert to fraction form
    94,833.91/146,830.85 = 146,830.85/x
  3. Step 3: Cross multiply
    94,833.91x = 146,830.85 × 146,830.85
  4. Step 4: Simplify right side
    94,833.91x = 21,559,298,970.57
  5. Step 5: Solve for x
    x = 21,559,298,970.57/94,833.91
  6. Step 6: Final answer
    x = 227,337.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.