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Finding the Third Proportional to 91,897,538,771 and 196,704,497,470

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Solution

The third proportional to 91,897,538,771 and 196,704,497,470 is: 421,041,301,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,897,538,771 : 196,704,497,470 = 196,704,497,470 : x
  2. Step 2: Convert to fraction form
    91,897,538,771/196,704,497,470 = 196,704,497,470/x
  3. Step 3: Cross multiply
    91,897,538,771x = 196,704,497,470 × 196,704,497,470
  4. Step 4: Simplify right side
    91,897,538,771x = 38,692,659,324,925,239,099,392
  5. Step 5: Solve for x
    x = 38,692,659,324,925,239,099,392/91,897,538,771
  6. Step 6: Final answer
    x = 421,041,301,457.96

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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.