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Finding the Third Proportional to 191,728,301 and 419,328,982

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Solution

The third proportional to 191,728,301 and 419,328,982 is: 917,114,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728,301 : 419,328,982 = 419,328,982 : x
  2. Step 2: Convert to fraction form
    191,728,301/419,328,982 = 419,328,982/x
  3. Step 3: Cross multiply
    191,728,301x = 419,328,982 × 419,328,982
  4. Step 4: Simplify right side
    191,728,301x = 175,836,795,145,156,320
  5. Step 5: Solve for x
    x = 175,836,795,145,156,320/191,728,301
  6. Step 6: Final answer
    x = 917,114,449.08

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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.