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Finding the Third Proportional to 90,210 and 195,789

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Solution

The third proportional to 90,210 and 195,789 is: 424,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,210 : 195,789 = 195,789 : x
  2. Step 2: Convert to fraction form
    90,210/195,789 = 195,789/x
  3. Step 3: Cross multiply
    90,210x = 195,789 × 195,789
  4. Step 4: Simplify right side
    90,210x = 38,333,332,521
  5. Step 5: Solve for x
    x = 38,333,332,521/90,210
  6. Step 6: Final answer
    x = 424,934.40

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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.