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Finding the Third Proportional to 90,224,784 and 135,364,824

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Solution

The third proportional to 90,224,784 and 135,364,824 is: 203,088,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,224,784 : 135,364,824 = 135,364,824 : x
  2. Step 2: Convert to fraction form
    90,224,784/135,364,824 = 135,364,824/x
  3. Step 3: Cross multiply
    90,224,784x = 135,364,824 × 135,364,824
  4. Step 4: Simplify right side
    90,224,784x = 18,323,635,576,550,976
  5. Step 5: Solve for x
    x = 18,323,635,576,550,976/90,224,784
  6. Step 6: Final answer
    x = 203,088,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.