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Finding the Third Proportional to 91,628,916 and 197,604,390

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Solution

The third proportional to 91,628,916 and 197,604,390 is: 426,148,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,628,916 : 197,604,390 = 197,604,390 : x
  2. Step 2: Convert to fraction form
    91,628,916/197,604,390 = 197,604,390/x
  3. Step 3: Cross multiply
    91,628,916x = 197,604,390 × 197,604,390
  4. Step 4: Simplify right side
    91,628,916x = 39,047,494,947,272,096
  5. Step 5: Solve for x
    x = 39,047,494,947,272,096/91,628,916
  6. Step 6: Final answer
    x = 426,148,170.82

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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.