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Finding the Third Proportional to 91,409,402 and 197,728,267

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Solution

The third proportional to 91,409,402 and 197,728,267 is: 427,707,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,409,402 : 197,728,267 = 197,728,267 : x
  2. Step 2: Convert to fraction form
    91,409,402/197,728,267 = 197,728,267/x
  3. Step 3: Cross multiply
    91,409,402x = 197,728,267 × 197,728,267
  4. Step 4: Simplify right side
    91,409,402x = 39,096,467,570,823,288
  5. Step 5: Solve for x
    x = 39,096,467,570,823,288/91,409,402
  6. Step 6: Final answer
    x = 427,707,289.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.