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Finding the Third Proportional to 88,576 and 191,914

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Solution

The third proportional to 88,576 and 191,914 is: 415,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,576 : 191,914 = 191,914 : x
  2. Step 2: Convert to fraction form
    88,576/191,914 = 191,914/x
  3. Step 3: Cross multiply
    88,576x = 191,914 × 191,914
  4. Step 4: Simplify right side
    88,576x = 36,830,983,396
  5. Step 5: Solve for x
    x = 36,830,983,396/88,576
  6. Step 6: Final answer
    x = 415,812.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.