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Finding the Third Proportional to 99,106.98 and 150,984.16

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Solution

The third proportional to 99,106.98 and 150,984.16 is: 230,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,106.98 : 150,984.16 = 150,984.16 : x
  2. Step 2: Convert to fraction form
    99,106.98/150,984.16 = 150,984.16/x
  3. Step 3: Cross multiply
    99,106.98x = 150,984.16 × 150,984.16
  4. Step 4: Simplify right side
    99,106.98x = 22,796,216,028.30
  5. Step 5: Solve for x
    x = 22,796,216,028.30/99,106.98
  6. Step 6: Final answer
    x = 230,016.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.