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Finding the Third Proportional to 106,700.25 and 229,215.75

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Solution

The third proportional to 106,700.25 and 229,215.75 is: 492,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.25 : 229,215.75 = 229,215.75 : x
  2. Step 2: Convert to fraction form
    106,700.25/229,215.75 = 229,215.75/x
  3. Step 3: Cross multiply
    106,700.25x = 229,215.75 × 229,215.75
  4. Step 4: Simplify right side
    106,700.25x = 52,539,860,048.06
  5. Step 5: Solve for x
    x = 52,539,860,048.06/106,700.25
  6. Step 6: Final answer
    x = 492,406.16

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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.