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Finding the Third Proportional to 77,323.50 and 163,806.75

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Solution

The third proportional to 77,323.50 and 163,806.75 is: 347,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.50 : 163,806.75 = 163,806.75 : x
  2. Step 2: Convert to fraction form
    77,323.50/163,806.75 = 163,806.75/x
  3. Step 3: Cross multiply
    77,323.50x = 163,806.75 × 163,806.75
  4. Step 4: Simplify right side
    77,323.50x = 26,832,651,345.56
  5. Step 5: Solve for x
    x = 26,832,651,345.56/77,323.50
  6. Step 6: Final answer
    x = 347,018.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.