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Finding the Third Proportional to 91,623,848 and 196,363,372

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Solution

The third proportional to 91,623,848 and 196,363,372 is: 420,835,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,623,848 : 196,363,372 = 196,363,372 : x
  2. Step 2: Convert to fraction form
    91,623,848/196,363,372 = 196,363,372/x
  3. Step 3: Cross multiply
    91,623,848x = 196,363,372 × 196,363,372
  4. Step 4: Simplify right side
    91,623,848x = 38,558,573,863,210,384
  5. Step 5: Solve for x
    x = 38,558,573,863,210,384/91,623,848
  6. Step 6: Final answer
    x = 420,835,565.25

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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.