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Finding the Third Proportional to 222,130.13 and 433,189.13

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Solution

The third proportional to 222,130.13 and 433,189.13 is: 844,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,130.13 : 433,189.13 = 433,189.13 : x
  2. Step 2: Convert to fraction form
    222,130.13/433,189.13 = 433,189.13/x
  3. Step 3: Cross multiply
    222,130.13x = 433,189.13 × 433,189.13
  4. Step 4: Simplify right side
    222,130.13x = 187,652,818,018.27
  5. Step 5: Solve for x
    x = 187,652,818,018.27/222,130.13
  6. Step 6: Final answer
    x = 844,787.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.