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Finding the Third Proportional to 101,936,364 and 220,101,272

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Solution

The third proportional to 101,936,364 and 220,101,272 is: 475,243,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,936,364 : 220,101,272 = 220,101,272 : x
  2. Step 2: Convert to fraction form
    101,936,364/220,101,272 = 220,101,272/x
  3. Step 3: Cross multiply
    101,936,364x = 220,101,272 × 220,101,272
  4. Step 4: Simplify right side
    101,936,364x = 48,444,569,936,017,984
  5. Step 5: Solve for x
    x = 48,444,569,936,017,984/101,936,364
  6. Step 6: Final answer
    x = 475,243,259.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.