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Finding the Third Proportional to 194,899,377.38 and 433,375,003.13

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Solution

The third proportional to 194,899,377.38 and 433,375,003.13 is: 963,645,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899,377.38 : 433,375,003.13 = 433,375,003.13 : x
  2. Step 2: Convert to fraction form
    194,899,377.38/433,375,003.13 = 433,375,003.13/x
  3. Step 3: Cross multiply
    194,899,377.38x = 433,375,003.13 × 433,375,003.13
  4. Step 4: Simplify right side
    194,899,377.38x = 187,813,893,333,593,760
  5. Step 5: Solve for x
    x = 187,813,893,333,593,760/194,899,377.38
  6. Step 6: Final answer
    x = 963,645,424.95

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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.