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Finding the Third Proportional to 191,720,720 and 419,313,648

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Solution

The third proportional to 191,720,720 and 419,313,648 is: 917,083,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720,720 : 419,313,648 = 419,313,648 : x
  2. Step 2: Convert to fraction form
    191,720,720/419,313,648 = 419,313,648/x
  3. Step 3: Cross multiply
    191,720,720x = 419,313,648 × 419,313,648
  4. Step 4: Simplify right side
    191,720,720x = 175,823,935,399,067,904
  5. Step 5: Solve for x
    x = 175,823,935,399,067,904/191,720,720
  6. Step 6: Final answer
    x = 917,083,638.11

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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.