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Finding the Third Proportional to 111,977,256 and 160,127,676

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Solution

The third proportional to 111,977,256 and 160,127,676 is: 228,982,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,256 : 160,127,676 = 160,127,676 : x
  2. Step 2: Convert to fraction form
    111,977,256/160,127,676 = 160,127,676/x
  3. Step 3: Cross multiply
    111,977,256x = 160,127,676 × 160,127,676
  4. Step 4: Simplify right side
    111,977,256x = 25,640,872,621,160,976
  5. Step 5: Solve for x
    x = 25,640,872,621,160,976/111,977,256
  6. Step 6: Final answer
    x = 228,982,862.57

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