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Finding the Third Proportional to 91,001,574 and 194,757,722

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Solution

The third proportional to 91,001,574 and 194,757,722 is: 416,812,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,001,574 : 194,757,722 = 194,757,722 : x
  2. Step 2: Convert to fraction form
    91,001,574/194,757,722 = 194,757,722/x
  3. Step 3: Cross multiply
    91,001,574x = 194,757,722 × 194,757,722
  4. Step 4: Simplify right side
    91,001,574x = 37,930,570,278,629,280
  5. Step 5: Solve for x
    x = 37,930,570,278,629,280/91,001,574
  6. Step 6: Final answer
    x = 416,812,244.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.