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Finding the Third Proportional to 91,370,845 and 199,485,191

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Solution

The third proportional to 91,370,845 and 199,485,191 is: 435,525,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,370,845 : 199,485,191 = 199,485,191 : x
  2. Step 2: Convert to fraction form
    91,370,845/199,485,191 = 199,485,191/x
  3. Step 3: Cross multiply
    91,370,845x = 199,485,191 × 199,485,191
  4. Step 4: Simplify right side
    91,370,845x = 39,794,341,428,306,480
  5. Step 5: Solve for x
    x = 39,794,341,428,306,480/91,370,845
  6. Step 6: Final answer
    x = 435,525,592.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.