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Finding the Third Proportional to 48,535.88 and 103,820.06

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Solution

The third proportional to 48,535.88 and 103,820.06 is: 222,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535.88 : 103,820.06 = 103,820.06 : x
  2. Step 2: Convert to fraction form
    48,535.88/103,820.06 = 103,820.06/x
  3. Step 3: Cross multiply
    48,535.88x = 103,820.06 × 103,820.06
  4. Step 4: Simplify right side
    48,535.88x = 10,778,605,377.50
  5. Step 5: Solve for x
    x = 10,778,605,377.50/48,535.88
  6. Step 6: Final answer
    x = 222,075.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.