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Finding the Third Proportional to 108,262,848 and 255,480,936

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Solution

The third proportional to 108,262,848 and 255,480,936 is: 602,889,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262,848 : 255,480,936 = 255,480,936 : x
  2. Step 2: Convert to fraction form
    108,262,848/255,480,936 = 255,480,936/x
  3. Step 3: Cross multiply
    108,262,848x = 255,480,936 × 255,480,936
  4. Step 4: Simplify right side
    108,262,848x = 65,270,508,659,436,096
  5. Step 5: Solve for x
    x = 65,270,508,659,436,096/108,262,848
  6. Step 6: Final answer
    x = 602,889,263.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.