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Finding the Third Proportional to 95,148 and 207,244

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Solution

The third proportional to 95,148 and 207,244 is: 451,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,148 : 207,244 = 207,244 : x
  2. Step 2: Convert to fraction form
    95,148/207,244 = 207,244/x
  3. Step 3: Cross multiply
    95,148x = 207,244 × 207,244
  4. Step 4: Simplify right side
    95,148x = 42,950,075,536
  5. Step 5: Solve for x
    x = 42,950,075,536/95,148
  6. Step 6: Final answer
    x = 451,402.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.