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Finding the Third Proportional to 102,881.81 and 154,596.09

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Solution

The third proportional to 102,881.81 and 154,596.09 is: 232,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.81 : 154,596.09 = 154,596.09 : x
  2. Step 2: Convert to fraction form
    102,881.81/154,596.09 = 154,596.09/x
  3. Step 3: Cross multiply
    102,881.81x = 154,596.09 × 154,596.09
  4. Step 4: Simplify right side
    102,881.81x = 23,899,952,202.76
  5. Step 5: Solve for x
    x = 23,899,952,202.76/102,881.81
  6. Step 6: Final answer
    x = 232,304.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.