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Finding the Third Proportional to 103,659,278 and 226,842,076

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Solution

The third proportional to 103,659,278 and 226,842,076 is: 496,408,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,278 : 226,842,076 = 226,842,076 : x
  2. Step 2: Convert to fraction form
    103,659,278/226,842,076 = 226,842,076/x
  3. Step 3: Cross multiply
    103,659,278x = 226,842,076 × 226,842,076
  4. Step 4: Simplify right side
    103,659,278x = 51,457,327,443,989,776
  5. Step 5: Solve for x
    x = 51,457,327,443,989,776/103,659,278
  6. Step 6: Final answer
    x = 496,408,314.21

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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.