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Finding the Third Proportional to 191,728,471 and 419,329,322

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Solution

The third proportional to 191,728,471 and 419,329,322 is: 917,115,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728,471 : 419,329,322 = 419,329,322 : x
  2. Step 2: Convert to fraction form
    191,728,471/419,329,322 = 419,329,322/x
  3. Step 3: Cross multiply
    191,728,471x = 419,329,322 × 419,329,322
  4. Step 4: Simplify right side
    191,728,471x = 175,837,080,288,979,680
  5. Step 5: Solve for x
    x = 175,837,080,288,979,680/191,728,471
  6. Step 6: Final answer
    x = 917,115,123.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.