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Finding the Third Proportional to 152,861,883,364 and 227,967,224,323

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Solution

The third proportional to 152,861,883,364 and 227,967,224,323 is: 339,973,930,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,861,883,364 : 227,967,224,323 = 227,967,224,323 : x
  2. Step 2: Convert to fraction form
    152,861,883,364/227,967,224,323 = 227,967,224,323/x
  3. Step 3: Cross multiply
    152,861,883,364x = 227,967,224,323 × 227,967,224,323
  4. Step 4: Simplify right side
    152,861,883,364x = 51,969,055,365,533,005,774,848
  5. Step 5: Solve for x
    x = 51,969,055,365,533,005,774,848/152,861,883,364
  6. Step 6: Final answer
    x = 339,973,930,857.46

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