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Finding the Third Proportional to 111,977,183 and 160,127,563

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Solution

The third proportional to 111,977,183 and 160,127,563 is: 228,982,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,183 : 160,127,563 = 160,127,563 : x
  2. Step 2: Convert to fraction form
    111,977,183/160,127,563 = 160,127,563/x
  3. Step 3: Cross multiply
    111,977,183x = 160,127,563 × 160,127,563
  4. Step 4: Simplify right side
    111,977,183x = 25,640,836,432,318,968
  5. Step 5: Solve for x
    x = 25,640,836,432,318,968/111,977,183
  6. Step 6: Final answer
    x = 228,982,688.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.