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Finding the Third Proportional to 92,033,409.94 and 204,496,936.88

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Solution

The third proportional to 92,033,409.94 and 204,496,936.88 is: 454,389,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033,409.94 : 204,496,936.88 = 204,496,936.88 : x
  2. Step 2: Convert to fraction form
    92,033,409.94/204,496,936.88 = 204,496,936.88/x
  3. Step 3: Cross multiply
    92,033,409.94x = 204,496,936.88 × 204,496,936.88
  4. Step 4: Simplify right side
    92,033,409.94x = 41,818,997,191,257,736
  5. Step 5: Solve for x
    x = 41,818,997,191,257,736/92,033,409.94
  6. Step 6: Final answer
    x = 454,389,305.14

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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.