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Finding the Third Proportional to 48,075.75 and 105,199.88

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Solution

The third proportional to 48,075.75 and 105,199.88 is: 230,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,075.75 : 105,199.88 = 105,199.88 : x
  2. Step 2: Convert to fraction form
    48,075.75/105,199.88 = 105,199.88/x
  3. Step 3: Cross multiply
    48,075.75x = 105,199.88 × 105,199.88
  4. Step 4: Simplify right side
    48,075.75x = 11,067,013,700.02
  5. Step 5: Solve for x
    x = 11,067,013,700.02/48,075.75
  6. Step 6: Final answer
    x = 230,199.50

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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.