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Finding the Third Proportional to 201,149,446 and 434,351,564

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Solution

The third proportional to 201,149,446 and 434,351,564 is: 937,915,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149,446 : 434,351,564 = 434,351,564 : x
  2. Step 2: Convert to fraction form
    201,149,446/434,351,564 = 434,351,564/x
  3. Step 3: Cross multiply
    201,149,446x = 434,351,564 × 434,351,564
  4. Step 4: Simplify right side
    201,149,446x = 188,661,281,149,246,080
  5. Step 5: Solve for x
    x = 188,661,281,149,246,080/201,149,446
  6. Step 6: Final answer
    x = 937,915,986.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.