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Finding the Third Proportional to 111,977,268 and 160,127,670

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Solution

The third proportional to 111,977,268 and 160,127,670 is: 228,982,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,268 : 160,127,670 = 160,127,670 : x
  2. Step 2: Convert to fraction form
    111,977,268/160,127,670 = 160,127,670/x
  3. Step 3: Cross multiply
    111,977,268x = 160,127,670 × 160,127,670
  4. Step 4: Simplify right side
    111,977,268x = 25,640,870,699,628,900
  5. Step 5: Solve for x
    x = 25,640,870,699,628,900/111,977,268
  6. Step 6: Final answer
    x = 228,982,820.87

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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.