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Finding the Third Proportional to 88,526 and 191,816

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Solution

The third proportional to 88,526 and 191,816 is: 415,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,526 : 191,816 = 191,816 : x
  2. Step 2: Convert to fraction form
    88,526/191,816 = 191,816/x
  3. Step 3: Cross multiply
    88,526x = 191,816 × 191,816
  4. Step 4: Simplify right side
    88,526x = 36,793,377,856
  5. Step 5: Solve for x
    x = 36,793,377,856/88,526
  6. Step 6: Final answer
    x = 415,622.28

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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.