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Finding the Third Proportional to 91,942,497 and 200,027,412

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Solution

The third proportional to 91,942,497 and 200,027,412 is: 435,173,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,942,497 : 200,027,412 = 200,027,412 : x
  2. Step 2: Convert to fraction form
    91,942,497/200,027,412 = 200,027,412/x
  3. Step 3: Cross multiply
    91,942,497x = 200,027,412 × 200,027,412
  4. Step 4: Simplify right side
    91,942,497x = 40,010,965,551,417,744
  5. Step 5: Solve for x
    x = 40,010,965,551,417,744/91,942,497
  6. Step 6: Final answer
    x = 435,173,797.29

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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.