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Finding the Third Proportional to 126,156,401.44 and 184,445,069.63

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Solution

The third proportional to 126,156,401.44 and 184,445,069.63 is: 269,665,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,401.44 : 184,445,069.63 = 184,445,069.63 : x
  2. Step 2: Convert to fraction form
    126,156,401.44/184,445,069.63 = 184,445,069.63/x
  3. Step 3: Cross multiply
    126,156,401.44x = 184,445,069.63 × 184,445,069.63
  4. Step 4: Simplify right side
    126,156,401.44x = 34,019,983,708,971,096
  5. Step 5: Solve for x
    x = 34,019,983,708,971,096/126,156,401.44
  6. Step 6: Final answer
    x = 269,665,140.42

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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.