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Finding the Third Proportional to 102,798.56 and 154,197.56

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Solution

The third proportional to 102,798.56 and 154,197.56 is: 231,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798.56 : 154,197.56 = 154,197.56 : x
  2. Step 2: Convert to fraction form
    102,798.56/154,197.56 = 154,197.56/x
  3. Step 3: Cross multiply
    102,798.56x = 154,197.56 × 154,197.56
  4. Step 4: Simplify right side
    102,798.56x = 23,776,888,280.94
  5. Step 5: Solve for x
    x = 23,776,888,280.94/102,798.56
  6. Step 6: Final answer
    x = 231,295.92

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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.