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Finding the Third Proportional to 106,982.50 and 229,145.75

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Solution

The third proportional to 106,982.50 and 229,145.75 is: 490,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,982.50 : 229,145.75 = 229,145.75 : x
  2. Step 2: Convert to fraction form
    106,982.50/229,145.75 = 229,145.75/x
  3. Step 3: Cross multiply
    106,982.50x = 229,145.75 × 229,145.75
  4. Step 4: Simplify right side
    106,982.50x = 52,507,774,743.06
  5. Step 5: Solve for x
    x = 52,507,774,743.06/106,982.50
  6. Step 6: Final answer
    x = 490,807.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.