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Finding the Third Proportional to 126,156,966 and 184,445,901

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Solution

The third proportional to 126,156,966 and 184,445,901 is: 269,666,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,966 : 184,445,901 = 184,445,901 : x
  2. Step 2: Convert to fraction form
    126,156,966/184,445,901 = 184,445,901/x
  3. Step 3: Cross multiply
    126,156,966x = 184,445,901 × 184,445,901
  4. Step 4: Simplify right side
    126,156,966x = 34,020,290,395,701,800
  5. Step 5: Solve for x
    x = 34,020,290,395,701,800/126,156,966
  6. Step 6: Final answer
    x = 269,666,364.64

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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.