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Finding the Third Proportional to 90,048.50 and 195,953

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Solution

The third proportional to 90,048.50 and 195,953 is: 426,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,048.50 : 195,953 = 195,953 : x
  2. Step 2: Convert to fraction form
    90,048.50/195,953 = 195,953/x
  3. Step 3: Cross multiply
    90,048.50x = 195,953 × 195,953
  4. Step 4: Simplify right side
    90,048.50x = 38,397,578,209
  5. Step 5: Solve for x
    x = 38,397,578,209/90,048.50
  6. Step 6: Final answer
    x = 426,409.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.