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Finding the Third Proportional to 110,307,219 and 242,496,102

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Solution

The third proportional to 110,307,219 and 242,496,102 is: 533,096,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,307,219 : 242,496,102 = 242,496,102 : x
  2. Step 2: Convert to fraction form
    110,307,219/242,496,102 = 242,496,102/x
  3. Step 3: Cross multiply
    110,307,219x = 242,496,102 × 242,496,102
  4. Step 4: Simplify right side
    110,307,219x = 58,804,359,485,194,400
  5. Step 5: Solve for x
    x = 58,804,359,485,194,400/110,307,219
  6. Step 6: Final answer
    x = 533,096,201.85

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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.