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Finding the Third Proportional to 91,596,861 and 197,542,224

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Solution

The third proportional to 91,596,861 and 197,542,224 is: 426,029,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596,861 : 197,542,224 = 197,542,224 : x
  2. Step 2: Convert to fraction form
    91,596,861/197,542,224 = 197,542,224/x
  3. Step 3: Cross multiply
    91,596,861x = 197,542,224 × 197,542,224
  4. Step 4: Simplify right side
    91,596,861x = 39,022,930,262,866,176
  5. Step 5: Solve for x
    x = 39,022,930,262,866,176/91,596,861
  6. Step 6: Final answer
    x = 426,029,121.92

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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.