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Finding the Third Proportional to 89,730 and 194,319

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Solution

The third proportional to 89,730 and 194,319 is: 420,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 194,319 = 194,319 : x
  2. Step 2: Convert to fraction form
    89,730/194,319 = 194,319/x
  3. Step 3: Cross multiply
    89,730x = 194,319 × 194,319
  4. Step 4: Simplify right side
    89,730x = 37,759,873,761
  5. Step 5: Solve for x
    x = 37,759,873,761/89,730
  6. Step 6: Final answer
    x = 420,816.60

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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.