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Finding the Third Proportional to 201,222,984 and 431,134,224

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Solution

The third proportional to 201,222,984 and 431,134,224 is: 923,735,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222,984 : 431,134,224 = 431,134,224 : x
  2. Step 2: Convert to fraction form
    201,222,984/431,134,224 = 431,134,224/x
  3. Step 3: Cross multiply
    201,222,984x = 431,134,224 × 431,134,224
  4. Step 4: Simplify right side
    201,222,984x = 185,876,719,104,082,176
  5. Step 5: Solve for x
    x = 185,876,719,104,082,176/201,222,984
  6. Step 6: Final answer
    x = 923,735,029.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.