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Finding the Third Proportional to 201,275,084.25 and 438,986,682

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Solution

The third proportional to 201,275,084.25 and 438,986,682 is: 957,442,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275,084.25 : 438,986,682 = 438,986,682 : x
  2. Step 2: Convert to fraction form
    201,275,084.25/438,986,682 = 438,986,682/x
  3. Step 3: Cross multiply
    201,275,084.25x = 438,986,682 × 438,986,682
  4. Step 4: Simplify right side
    201,275,084.25x = 192,709,306,973,369,120
  5. Step 5: Solve for x
    x = 192,709,306,973,369,120/201,275,084.25
  6. Step 6: Final answer
    x = 957,442,436.01

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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.