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Finding the Third Proportional to 268,510,592.25 and 401,112,225

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Solution

The third proportional to 268,510,592.25 and 401,112,225 is: 599,198,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,510,592.25 : 401,112,225 = 401,112,225 : x
  2. Step 2: Convert to fraction form
    268,510,592.25/401,112,225 = 401,112,225/x
  3. Step 3: Cross multiply
    268,510,592.25x = 401,112,225 × 401,112,225
  4. Step 4: Simplify right side
    268,510,592.25x = 160,891,017,044,450,624
  5. Step 5: Solve for x
    x = 160,891,017,044,450,624/268,510,592.25
  6. Step 6: Final answer
    x = 599,198,026.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.