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Finding the Third Proportional to 114,202.41 and 231,177.01

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Solution

The third proportional to 114,202.41 and 231,177.01 is: 467,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,202.41 : 231,177.01 = 231,177.01 : x
  2. Step 2: Convert to fraction form
    114,202.41/231,177.01 = 231,177.01/x
  3. Step 3: Cross multiply
    114,202.41x = 231,177.01 × 231,177.01
  4. Step 4: Simplify right side
    114,202.41x = 53,442,808,038.11
  5. Step 5: Solve for x
    x = 53,442,808,038.11/114,202.41
  6. Step 6: Final answer
    x = 467,965.69

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.