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Finding the Third Proportional to 88,721 and 194,617

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Solution

The third proportional to 88,721 and 194,617 is: 426,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,721 : 194,617 = 194,617 : x
  2. Step 2: Convert to fraction form
    88,721/194,617 = 194,617/x
  3. Step 3: Cross multiply
    88,721x = 194,617 × 194,617
  4. Step 4: Simplify right side
    88,721x = 37,875,776,689
  5. Step 5: Solve for x
    x = 37,875,776,689/88,721
  6. Step 6: Final answer
    x = 426,908.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.