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Finding the Third Proportional to 105,634,338 and 225,806,108

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Solution

The third proportional to 105,634,338 and 225,806,108 is: 482,687,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,634,338 : 225,806,108 = 225,806,108 : x
  2. Step 2: Convert to fraction form
    105,634,338/225,806,108 = 225,806,108/x
  3. Step 3: Cross multiply
    105,634,338x = 225,806,108 × 225,806,108
  4. Step 4: Simplify right side
    105,634,338x = 50,988,398,410,107,664
  5. Step 5: Solve for x
    x = 50,988,398,410,107,664/105,634,338
  6. Step 6: Final answer
    x = 482,687,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.