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Finding the Third Proportional to 91,831,890 and 199,805,682

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Solution

The third proportional to 91,831,890 and 199,805,682 is: 434,732,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,831,890 : 199,805,682 = 199,805,682 : x
  2. Step 2: Convert to fraction form
    91,831,890/199,805,682 = 199,805,682/x
  3. Step 3: Cross multiply
    91,831,890x = 199,805,682 × 199,805,682
  4. Step 4: Simplify right side
    91,831,890x = 39,922,310,559,485,120
  5. Step 5: Solve for x
    x = 39,922,310,559,485,120/91,831,890
  6. Step 6: Final answer
    x = 434,732,537.46

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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.