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Finding the Third Proportional to 126,156,974 and 184,445,913

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Solution

The third proportional to 126,156,974 and 184,445,913 is: 269,666,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,974 : 184,445,913 = 184,445,913 : x
  2. Step 2: Convert to fraction form
    126,156,974/184,445,913 = 184,445,913/x
  3. Step 3: Cross multiply
    126,156,974x = 184,445,913 × 184,445,913
  4. Step 4: Simplify right side
    126,156,974x = 34,020,294,822,403,568
  5. Step 5: Solve for x
    x = 34,020,294,822,403,568/126,156,974
  6. Step 6: Final answer
    x = 269,666,382.63

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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.