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Finding the Third Proportional to 77,489,016 and 170,092,272

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Solution

The third proportional to 77,489,016 and 170,092,272 is: 373,361,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489,016 : 170,092,272 = 170,092,272 : x
  2. Step 2: Convert to fraction form
    77,489,016/170,092,272 = 170,092,272/x
  3. Step 3: Cross multiply
    77,489,016x = 170,092,272 × 170,092,272
  4. Step 4: Simplify right side
    77,489,016x = 28,931,380,994,121,984
  5. Step 5: Solve for x
    x = 28,931,380,994,121,984/77,489,016
  6. Step 6: Final answer
    x = 373,361,057.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.