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Finding the Third Proportional to 191,403,884 and 419,863,972

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Solution

The third proportional to 191,403,884 and 419,863,972 is: 921,014,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403,884 : 419,863,972 = 419,863,972 : x
  2. Step 2: Convert to fraction form
    191,403,884/419,863,972 = 419,863,972/x
  3. Step 3: Cross multiply
    191,403,884x = 419,863,972 × 419,863,972
  4. Step 4: Simplify right side
    191,403,884x = 176,285,754,983,616,768
  5. Step 5: Solve for x
    x = 176,285,754,983,616,768/191,403,884
  6. Step 6: Final answer
    x = 921,014,512.87

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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.