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Finding the Third Proportional to 88,110 and 190,557

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Solution

The third proportional to 88,110 and 190,557 is: 412,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,110 : 190,557 = 190,557 : x
  2. Step 2: Convert to fraction form
    88,110/190,557 = 190,557/x
  3. Step 3: Cross multiply
    88,110x = 190,557 × 190,557
  4. Step 4: Simplify right side
    88,110x = 36,311,970,249
  5. Step 5: Solve for x
    x = 36,311,970,249/88,110
  6. Step 6: Final answer
    x = 412,120.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.