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Finding the Third Proportional to 48,910.22 and 77,803.13

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Solution

The third proportional to 48,910.22 and 77,803.13 is: 123,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,910.22 : 77,803.13 = 77,803.13 : x
  2. Step 2: Convert to fraction form
    48,910.22/77,803.13 = 77,803.13/x
  3. Step 3: Cross multiply
    48,910.22x = 77,803.13 × 77,803.13
  4. Step 4: Simplify right side
    48,910.22x = 6,053,326,259.77
  5. Step 5: Solve for x
    x = 6,053,326,259.77/48,910.22
  6. Step 6: Final answer
    x = 123,764.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.