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Finding the Third Proportional to 77,434,268 and 168,524,158

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Solution

The third proportional to 77,434,268 and 168,524,158 is: 366,767,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,268 : 168,524,158 = 168,524,158 : x
  2. Step 2: Convert to fraction form
    77,434,268/168,524,158 = 168,524,158/x
  3. Step 3: Cross multiply
    77,434,268x = 168,524,158 × 168,524,158
  4. Step 4: Simplify right side
    77,434,268x = 28,400,391,829,608,964
  5. Step 5: Solve for x
    x = 28,400,391,829,608,964/77,434,268
  6. Step 6: Final answer
    x = 366,767,744.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.