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Finding the Third Proportional to 173,300,534 and 269,206,206

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Solution

The third proportional to 173,300,534 and 269,206,206 is: 418,186,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,300,534 : 269,206,206 = 269,206,206 : x
  2. Step 2: Convert to fraction form
    173,300,534/269,206,206 = 269,206,206/x
  3. Step 3: Cross multiply
    173,300,534x = 269,206,206 × 269,206,206
  4. Step 4: Simplify right side
    173,300,534x = 72,471,981,348,914,432
  5. Step 5: Solve for x
    x = 72,471,981,348,914,432/173,300,534
  6. Step 6: Final answer
    x = 418,186,716.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.