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Finding the Third Proportional to 106,203.66 and 230,895.56

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Solution

The third proportional to 106,203.66 and 230,895.56 is: 501,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.66 : 230,895.56 = 230,895.56 : x
  2. Step 2: Convert to fraction form
    106,203.66/230,895.56 = 230,895.56/x
  3. Step 3: Cross multiply
    106,203.66x = 230,895.56 × 230,895.56
  4. Step 4: Simplify right side
    106,203.66x = 53,312,760,782.19
  5. Step 5: Solve for x
    x = 53,312,760,782.19/106,203.66
  6. Step 6: Final answer
    x = 501,986.11

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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.