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Finding the Third Proportional to 83,041,942 and 194,023,453

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Solution

The third proportional to 83,041,942 and 194,023,453 is: 453,326,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041,942 : 194,023,453 = 194,023,453 : x
  2. Step 2: Convert to fraction form
    83,041,942/194,023,453 = 194,023,453/x
  3. Step 3: Cross multiply
    83,041,942x = 194,023,453 × 194,023,453
  4. Step 4: Simplify right side
    83,041,942x = 37,645,100,314,043,208
  5. Step 5: Solve for x
    x = 37,645,100,314,043,208/83,041,942
  6. Step 6: Final answer
    x = 453,326,348.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.