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Finding the Third Proportional to 99,185 and 151,100

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Solution

The third proportional to 99,185 and 151,100 is: 230,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,185 : 151,100 = 151,100 : x
  2. Step 2: Convert to fraction form
    99,185/151,100 = 151,100/x
  3. Step 3: Cross multiply
    99,185x = 151,100 × 151,100
  4. Step 4: Simplify right side
    99,185x = 22,831,210,000
  5. Step 5: Solve for x
    x = 22,831,210,000/99,185
  6. Step 6: Final answer
    x = 230,188.13

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Why These Related Problems?

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