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Finding the Third Proportional to 91,832,096 and 199,806,080

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Solution

The third proportional to 91,832,096 and 199,806,080 is: 434,733,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,832,096 : 199,806,080 = 199,806,080 : x
  2. Step 2: Convert to fraction form
    91,832,096/199,806,080 = 199,806,080/x
  3. Step 3: Cross multiply
    91,832,096x = 199,806,080 × 199,806,080
  4. Step 4: Simplify right side
    91,832,096x = 39,922,469,604,966,400
  5. Step 5: Solve for x
    x = 39,922,469,604,966,400/91,832,096
  6. Step 6: Final answer
    x = 434,733,294.17

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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.