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Finding the Third Proportional to 102,396.81 and 153,595.31

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Solution

The third proportional to 102,396.81 and 153,595.31 is: 230,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.81 : 153,595.31 = 153,595.31 : x
  2. Step 2: Convert to fraction form
    102,396.81/153,595.31 = 153,595.31/x
  3. Step 3: Cross multiply
    102,396.81x = 153,595.31 × 153,595.31
  4. Step 4: Simplify right side
    102,396.81x = 23,591,520,021.97
  5. Step 5: Solve for x
    x = 23,591,520,021.97/102,396.81
  6. Step 6: Final answer
    x = 230,393.11

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