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Finding the Third Proportional to 103,659,297 and 226,842,114

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Solution

The third proportional to 103,659,297 and 226,842,114 is: 496,408,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,297 : 226,842,114 = 226,842,114 : x
  2. Step 2: Convert to fraction form
    103,659,297/226,842,114 = 226,842,114/x
  3. Step 3: Cross multiply
    103,659,297x = 226,842,114 × 226,842,114
  4. Step 4: Simplify right side
    103,659,297x = 51,457,344,683,988,992
  5. Step 5: Solve for x
    x = 51,457,344,683,988,992/103,659,297
  6. Step 6: Final answer
    x = 496,408,389.53

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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.