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Finding the Third Proportional to 106,970.25 and 229,121.25

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Solution

The third proportional to 106,970.25 and 229,121.25 is: 490,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970.25 : 229,121.25 = 229,121.25 : x
  2. Step 2: Convert to fraction form
    106,970.25/229,121.25 = 229,121.25/x
  3. Step 3: Cross multiply
    106,970.25x = 229,121.25 × 229,121.25
  4. Step 4: Simplify right side
    106,970.25x = 52,496,547,201.56
  5. Step 5: Solve for x
    x = 52,496,547,201.56/106,970.25
  6. Step 6: Final answer
    x = 490,758.39

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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.