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Finding the Third Proportional to 126,156,972 and 184,445,910

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Solution

The third proportional to 126,156,972 and 184,445,910 is: 269,666,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,972 : 184,445,910 = 184,445,910 : x
  2. Step 2: Convert to fraction form
    126,156,972/184,445,910 = 184,445,910/x
  3. Step 3: Cross multiply
    126,156,972x = 184,445,910 × 184,445,910
  4. Step 4: Simplify right side
    126,156,972x = 34,020,293,715,728,100
  5. Step 5: Solve for x
    x = 34,020,293,715,728,100/126,156,972
  6. Step 6: Final answer
    x = 269,666,378.14

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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.