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Finding the Third Proportional to 91,370,866 and 199,485,232

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Solution

The third proportional to 91,370,866 and 199,485,232 is: 435,525,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,370,866 : 199,485,232 = 199,485,232 : x
  2. Step 2: Convert to fraction form
    91,370,866/199,485,232 = 199,485,232/x
  3. Step 3: Cross multiply
    91,370,866x = 199,485,232 × 199,485,232
  4. Step 4: Simplify right side
    91,370,866x = 39,794,357,786,093,824
  5. Step 5: Solve for x
    x = 39,794,357,786,093,824/91,370,866
  6. Step 6: Final answer
    x = 435,525,671.67

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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.