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Finding the Third Proportional to 218,138.06 and 456,141.38

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Solution

The third proportional to 218,138.06 and 456,141.38 is: 953,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,138.06 : 456,141.38 = 456,141.38 : x
  2. Step 2: Convert to fraction form
    218,138.06/456,141.38 = 456,141.38/x
  3. Step 3: Cross multiply
    218,138.06x = 456,141.38 × 456,141.38
  4. Step 4: Simplify right side
    218,138.06x = 208,064,953,986.89
  5. Step 5: Solve for x
    x = 208,064,953,986.89/218,138.06
  6. Step 6: Final answer
    x = 953,822.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.