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Finding the Third Proportional to 48,208 and 99,492

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Solution

The third proportional to 48,208 and 99,492 is: 205,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208 : 99,492 = 99,492 : x
  2. Step 2: Convert to fraction form
    48,208/99,492 = 99,492/x
  3. Step 3: Cross multiply
    48,208x = 99,492 × 99,492
  4. Step 4: Simplify right side
    48,208x = 9,898,658,064
  5. Step 5: Solve for x
    x = 9,898,658,064/48,208
  6. Step 6: Final answer
    x = 205,332.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.