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Finding the Third Proportional to 154,963.13 and 227,135.81

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Solution

The third proportional to 154,963.13 and 227,135.81 is: 332,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,963.13 : 227,135.81 = 227,135.81 : x
  2. Step 2: Convert to fraction form
    154,963.13/227,135.81 = 227,135.81/x
  3. Step 3: Cross multiply
    154,963.13x = 227,135.81 × 227,135.81
  4. Step 4: Simplify right side
    154,963.13x = 51,590,677,320.04
  5. Step 5: Solve for x
    x = 51,590,677,320.04/154,963.13
  6. Step 6: Final answer
    x = 332,922.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.