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Finding the Third Proportional to 110,307,225 and 242,496,114

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Solution

The third proportional to 110,307,225 and 242,496,114 is: 533,096,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,307,225 : 242,496,114 = 242,496,114 : x
  2. Step 2: Convert to fraction form
    110,307,225/242,496,114 = 242,496,114/x
  3. Step 3: Cross multiply
    110,307,225x = 242,496,114 × 242,496,114
  4. Step 4: Simplify right side
    110,307,225x = 58,804,365,305,100,992
  5. Step 5: Solve for x
    x = 58,804,365,305,100,992/110,307,225
  6. Step 6: Final answer
    x = 533,096,225.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.