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Finding the Third Proportional to 77,434,286 and 168,524,194

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Solution

The third proportional to 77,434,286 and 168,524,194 is: 366,767,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,286 : 168,524,194 = 168,524,194 : x
  2. Step 2: Convert to fraction form
    77,434,286/168,524,194 = 168,524,194/x
  3. Step 3: Cross multiply
    77,434,286x = 168,524,194 × 168,524,194
  4. Step 4: Simplify right side
    77,434,286x = 28,400,403,963,349,636
  5. Step 5: Solve for x
    x = 28,400,403,963,349,636/77,434,286
  6. Step 6: Final answer
    x = 366,767,816.05

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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.