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Finding the Third Proportional to 201,890,901 and 439,211,202

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Solution

The third proportional to 201,890,901 and 439,211,202 is: 955,498,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890,901 : 439,211,202 = 439,211,202 : x
  2. Step 2: Convert to fraction form
    201,890,901/439,211,202 = 439,211,202/x
  3. Step 3: Cross multiply
    201,890,901x = 439,211,202 × 439,211,202
  4. Step 4: Simplify right side
    201,890,901x = 192,906,479,962,284,800
  5. Step 5: Solve for x
    x = 192,906,479,962,284,800/201,890,901
  6. Step 6: Final answer
    x = 955,498,633.21

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