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Finding the Third Proportional to 92,981 and 197,590

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Solution

The third proportional to 92,981 and 197,590 is: 419,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,981 : 197,590 = 197,590 : x
  2. Step 2: Convert to fraction form
    92,981/197,590 = 197,590/x
  3. Step 3: Cross multiply
    92,981x = 197,590 × 197,590
  4. Step 4: Simplify right side
    92,981x = 39,041,808,100
  5. Step 5: Solve for x
    x = 39,041,808,100/92,981
  6. Step 6: Final answer
    x = 419,890.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.