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Finding the Third Proportional to 106,647.75 and 226,417.50

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Solution

The third proportional to 106,647.75 and 226,417.50 is: 480,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,647.75 : 226,417.50 = 226,417.50 : x
  2. Step 2: Convert to fraction form
    106,647.75/226,417.50 = 226,417.50/x
  3. Step 3: Cross multiply
    106,647.75x = 226,417.50 × 226,417.50
  4. Step 4: Simplify right side
    106,647.75x = 51,264,884,306.25
  5. Step 5: Solve for x
    x = 51,264,884,306.25/106,647.75
  6. Step 6: Final answer
    x = 480,693.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.