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Finding the Third Proportional to 77,434,266 and 168,524,154

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Solution

The third proportional to 77,434,266 and 168,524,154 is: 366,767,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,266 : 168,524,154 = 168,524,154 : x
  2. Step 2: Convert to fraction form
    77,434,266/168,524,154 = 168,524,154/x
  3. Step 3: Cross multiply
    77,434,266x = 168,524,154 × 168,524,154
  4. Step 4: Simplify right side
    77,434,266x = 28,400,390,481,415,716
  5. Step 5: Solve for x
    x = 28,400,390,481,415,716/77,434,266
  6. Step 6: Final answer
    x = 366,767,736.67

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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.