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Finding the Third Proportional to 91,942,409 and 200,027,254

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Solution

The third proportional to 91,942,409 and 200,027,254 is: 435,173,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,942,409 : 200,027,254 = 200,027,254 : x
  2. Step 2: Convert to fraction form
    91,942,409/200,027,254 = 200,027,254/x
  3. Step 3: Cross multiply
    91,942,409x = 200,027,254 × 200,027,254
  4. Step 4: Simplify right side
    91,942,409x = 40,010,902,342,780,512
  5. Step 5: Solve for x
    x = 40,010,902,342,780,512/91,942,409
  6. Step 6: Final answer
    x = 435,173,526.32

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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.