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Finding the Third Proportional to 152,861,883,362 and 227,967,224,320

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Solution

The third proportional to 152,861,883,362 and 227,967,224,320 is: 339,973,930,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,861,883,362 : 227,967,224,320 = 227,967,224,320 : x
  2. Step 2: Convert to fraction form
    152,861,883,362/227,967,224,320 = 227,967,224,320/x
  3. Step 3: Cross multiply
    152,861,883,362x = 227,967,224,320 × 227,967,224,320
  4. Step 4: Simplify right side
    152,861,883,362x = 51,969,055,364,165,201,297,408
  5. Step 5: Solve for x
    x = 51,969,055,364,165,201,297,408/152,861,883,362
  6. Step 6: Final answer
    x = 339,973,930,852.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.