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Finding the Third Proportional to 201,149,444 and 434,351,560

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Solution

The third proportional to 201,149,444 and 434,351,560 is: 937,915,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149,444 : 434,351,560 = 434,351,560 : x
  2. Step 2: Convert to fraction form
    201,149,444/434,351,560 = 434,351,560/x
  3. Step 3: Cross multiply
    201,149,444x = 434,351,560 × 434,351,560
  4. Step 4: Simplify right side
    201,149,444x = 188,661,277,674,433,600
  5. Step 5: Solve for x
    x = 188,661,277,674,433,600/201,149,444
  6. Step 6: Final answer
    x = 937,915,978.90

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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.