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Finding the Third Proportional to 111,977,272 and 160,127,672

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Solution

The third proportional to 111,977,272 and 160,127,672 is: 228,982,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,272 : 160,127,672 = 160,127,672 : x
  2. Step 2: Convert to fraction form
    111,977,272/160,127,672 = 160,127,672/x
  3. Step 3: Cross multiply
    111,977,272x = 160,127,672 × 160,127,672
  4. Step 4: Simplify right side
    111,977,272x = 25,640,871,340,139,584
  5. Step 5: Solve for x
    x = 25,640,871,340,139,584/111,977,272
  6. Step 6: Final answer
    x = 228,982,818.41

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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.