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Finding the Third Proportional to 151,047,981 and 233,244,512

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Solution

The third proportional to 151,047,981 and 233,244,512 is: 360,170,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,047,981 : 233,244,512 = 233,244,512 : x
  2. Step 2: Convert to fraction form
    151,047,981/233,244,512 = 233,244,512/x
  3. Step 3: Cross multiply
    151,047,981x = 233,244,512 × 233,244,512
  4. Step 4: Simplify right side
    151,047,981x = 54,403,002,378,118,144
  5. Step 5: Solve for x
    x = 54,403,002,378,118,144/151,047,981
  6. Step 6: Final answer
    x = 360,170,338.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.