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Finding the Third Proportional to 69,647.06 and 152,644.78

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Solution

The third proportional to 69,647.06 and 152,644.78 is: 334,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,647.06 : 152,644.78 = 152,644.78 : x
  2. Step 2: Convert to fraction form
    69,647.06/152,644.78 = 152,644.78/x
  3. Step 3: Cross multiply
    69,647.06x = 152,644.78 × 152,644.78
  4. Step 4: Simplify right side
    69,647.06x = 23,300,429,242.86
  5. Step 5: Solve for x
    x = 23,300,429,242.86/69,647.06
  6. Step 6: Final answer
    x = 334,550.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.