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Finding the Third Proportional to 126,203,832 and 193,864,538.25

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Solution

The third proportional to 126,203,832 and 193,864,538.25 is: 297,799,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,203,832 : 193,864,538.25 = 193,864,538.25 : x
  2. Step 2: Convert to fraction form
    126,203,832/193,864,538.25 = 193,864,538.25/x
  3. Step 3: Cross multiply
    126,203,832x = 193,864,538.25 × 193,864,538.25
  4. Step 4: Simplify right side
    126,203,832x = 37,583,459,190,885,712
  5. Step 5: Solve for x
    x = 37,583,459,190,885,712/126,203,832
  6. Step 6: Final answer
    x = 297,799,667.37

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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.