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Finding the Third Proportional to 88,012 and 205,369

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Solution

The third proportional to 88,012 and 205,369 is: 479,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,012 : 205,369 = 205,369 : x
  2. Step 2: Convert to fraction form
    88,012/205,369 = 205,369/x
  3. Step 3: Cross multiply
    88,012x = 205,369 × 205,369
  4. Step 4: Simplify right side
    88,012x = 42,176,426,161
  5. Step 5: Solve for x
    x = 42,176,426,161/88,012
  6. Step 6: Final answer
    x = 479,212.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.