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Finding the Third Proportional to 92,033,408.25 and 204,496,933.50

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Solution

The third proportional to 92,033,408.25 and 204,496,933.50 is: 454,389,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033,408.25 : 204,496,933.50 = 204,496,933.50 : x
  2. Step 2: Convert to fraction form
    92,033,408.25/204,496,933.50 = 204,496,933.50/x
  3. Step 3: Cross multiply
    92,033,408.25x = 204,496,933.50 × 204,496,933.50
  4. Step 4: Simplify right side
    92,033,408.25x = 41,818,995,810,903,424
  5. Step 5: Solve for x
    x = 41,818,995,810,903,424/92,033,408.25
  6. Step 6: Final answer
    x = 454,389,298.47

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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.