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Finding the Third Proportional to 126,156,962 and 184,445,895

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Solution

The third proportional to 126,156,962 and 184,445,895 is: 269,666,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,962 : 184,445,895 = 184,445,895 : x
  2. Step 2: Convert to fraction form
    126,156,962/184,445,895 = 184,445,895/x
  3. Step 3: Cross multiply
    126,156,962x = 184,445,895 × 184,445,895
  4. Step 4: Simplify right side
    126,156,962x = 34,020,288,182,351,024
  5. Step 5: Solve for x
    x = 34,020,288,182,351,024/126,156,962
  6. Step 6: Final answer
    x = 269,666,355.65

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Why These Related Problems?

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