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Finding the Third Proportional to 91,001,524 and 194,757,633

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Solution

The third proportional to 91,001,524 and 194,757,633 is: 416,812,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,001,524 : 194,757,633 = 194,757,633 : x
  2. Step 2: Convert to fraction form
    91,001,524/194,757,633 = 194,757,633/x
  3. Step 3: Cross multiply
    91,001,524x = 194,757,633 × 194,757,633
  4. Step 4: Simplify right side
    91,001,524x = 37,930,535,611,762,688
  5. Step 5: Solve for x
    x = 37,930,535,611,762,688/91,001,524
  6. Step 6: Final answer
    x = 416,812,092.20

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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.