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Finding the Third Proportional to 103,659,264 and 226,842,048

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Solution

The third proportional to 103,659,264 and 226,842,048 is: 496,408,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,264 : 226,842,048 = 226,842,048 : x
  2. Step 2: Convert to fraction form
    103,659,264/226,842,048 = 226,842,048/x
  3. Step 3: Cross multiply
    103,659,264x = 226,842,048 × 226,842,048
  4. Step 4: Simplify right side
    103,659,264x = 51,457,314,740,834,304
  5. Step 5: Solve for x
    x = 51,457,314,740,834,304/103,659,264
  6. Step 6: Final answer
    x = 496,408,258.70

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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.