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Finding the Third Proportional to 126,156,405.38 and 184,445,076.38

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Solution

The third proportional to 126,156,405.38 and 184,445,076.38 is: 269,665,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,405.38 : 184,445,076.38 = 184,445,076.38 : x
  2. Step 2: Convert to fraction form
    126,156,405.38/184,445,076.38 = 184,445,076.38/x
  3. Step 3: Cross multiply
    126,156,405.38x = 184,445,076.38 × 184,445,076.38
  4. Step 4: Simplify right side
    126,156,405.38x = 34,019,986,198,979,584
  5. Step 5: Solve for x
    x = 34,019,986,198,979,584/126,156,405.38
  6. Step 6: Final answer
    x = 269,665,151.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.