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Finding the Third Proportional to 194,852,936 and 424,007,806

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Solution

The third proportional to 194,852,936 and 424,007,806 is: 922,657,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852,936 : 424,007,806 = 424,007,806 : x
  2. Step 2: Convert to fraction form
    194,852,936/424,007,806 = 424,007,806/x
  3. Step 3: Cross multiply
    194,852,936x = 424,007,806 × 424,007,806
  4. Step 4: Simplify right side
    194,852,936x = 179,782,619,548,933,632
  5. Step 5: Solve for x
    x = 179,782,619,548,933,632/194,852,936
  6. Step 6: Final answer
    x = 922,657,996.54

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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.