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Finding the Third Proportional to 78,163,936 and 167,062,214

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Solution

The third proportional to 78,163,936 and 167,062,214 is: 357,067,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163,936 : 167,062,214 = 167,062,214 : x
  2. Step 2: Convert to fraction form
    78,163,936/167,062,214 = 167,062,214/x
  3. Step 3: Cross multiply
    78,163,936x = 167,062,214 × 167,062,214
  4. Step 4: Simplify right side
    78,163,936x = 27,909,783,346,581,796
  5. Step 5: Solve for x
    x = 27,909,783,346,581,796/78,163,936
  6. Step 6: Final answer
    x = 357,067,271.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.