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Finding the Third Proportional to 92,364 and 197,364

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Solution

The third proportional to 92,364 and 197,364 is: 421,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364 : 197,364 = 197,364 : x
  2. Step 2: Convert to fraction form
    92,364/197,364 = 197,364/x
  3. Step 3: Cross multiply
    92,364x = 197,364 × 197,364
  4. Step 4: Simplify right side
    92,364x = 38,952,548,496
  5. Step 5: Solve for x
    x = 38,952,548,496/92,364
  6. Step 6: Final answer
    x = 421,728.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.