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Finding the Third Proportional to 152,682.75 and 219,101.63

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Solution

The third proportional to 152,682.75 and 219,101.63 is: 314,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682.75 : 219,101.63 = 219,101.63 : x
  2. Step 2: Convert to fraction form
    152,682.75/219,101.63 = 219,101.63/x
  3. Step 3: Cross multiply
    152,682.75x = 219,101.63 × 219,101.63
  4. Step 4: Simplify right side
    152,682.75x = 48,005,522,077.64
  5. Step 5: Solve for x
    x = 48,005,522,077.64/152,682.75
  6. Step 6: Final answer
    x = 314,413.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.