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Finding the Third Proportional to 191,923,314 and 417,922,788

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Solution

The third proportional to 191,923,314 and 417,922,788 is: 910,048,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,923,314 : 417,922,788 = 417,922,788 : x
  2. Step 2: Convert to fraction form
    191,923,314/417,922,788 = 417,922,788/x
  3. Step 3: Cross multiply
    191,923,314x = 417,922,788 × 417,922,788
  4. Step 4: Simplify right side
    191,923,314x = 174,659,456,729,692,928
  5. Step 5: Solve for x
    x = 174,659,456,729,692,928/191,923,314
  6. Step 6: Final answer
    x = 910,048,149.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.