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Finding the Third Proportional to 92,033,424 and 204,496,960.50

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Solution

The third proportional to 92,033,424 and 204,496,960.50 is: 454,389,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033,424 : 204,496,960.50 = 204,496,960.50 : x
  2. Step 2: Convert to fraction form
    92,033,424/204,496,960.50 = 204,496,960.50/x
  3. Step 3: Cross multiply
    92,033,424x = 204,496,960.50 × 204,496,960.50
  4. Step 4: Simplify right side
    92,033,424x = 41,819,006,853,738,560
  5. Step 5: Solve for x
    x = 41,819,006,853,738,560/92,033,424
  6. Step 6: Final answer
    x = 454,389,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.