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Finding the Third Proportional to 103,659,270 and 226,842,060

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Solution

The third proportional to 103,659,270 and 226,842,060 is: 496,408,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,270 : 226,842,060 = 226,842,060 : x
  2. Step 2: Convert to fraction form
    103,659,270/226,842,060 = 226,842,060/x
  3. Step 3: Cross multiply
    103,659,270x = 226,842,060 × 226,842,060
  4. Step 4: Simplify right side
    103,659,270x = 51,457,320,185,043,600
  5. Step 5: Solve for x
    x = 51,457,320,185,043,600/103,659,270
  6. Step 6: Final answer
    x = 496,408,282.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.