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Finding the Third Proportional to 106,166.75 and 230,045.50

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Solution

The third proportional to 106,166.75 and 230,045.50 is: 498,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166.75 : 230,045.50 = 230,045.50 : x
  2. Step 2: Convert to fraction form
    106,166.75/230,045.50 = 230,045.50/x
  3. Step 3: Cross multiply
    106,166.75x = 230,045.50 × 230,045.50
  4. Step 4: Simplify right side
    106,166.75x = 52,920,932,070.25
  5. Step 5: Solve for x
    x = 52,920,932,070.25/106,166.75
  6. Step 6: Final answer
    x = 498,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.