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Finding the Third Proportional to 69,482.25 and 151,510.50

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Solution

The third proportional to 69,482.25 and 151,510.50 is: 330,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,482.25 : 151,510.50 = 151,510.50 : x
  2. Step 2: Convert to fraction form
    69,482.25/151,510.50 = 151,510.50/x
  3. Step 3: Cross multiply
    69,482.25x = 151,510.50 × 151,510.50
  4. Step 4: Simplify right side
    69,482.25x = 22,955,431,610.25
  5. Step 5: Solve for x
    x = 22,955,431,610.25/69,482.25
  6. Step 6: Final answer
    x = 330,378.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.