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Finding the Third Proportional to 90,140,976 and 196,800,096

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Solution

The third proportional to 90,140,976 and 196,800,096 is: 429,663,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,140,976 : 196,800,096 = 196,800,096 : x
  2. Step 2: Convert to fraction form
    90,140,976/196,800,096 = 196,800,096/x
  3. Step 3: Cross multiply
    90,140,976x = 196,800,096 × 196,800,096
  4. Step 4: Simplify right side
    90,140,976x = 38,730,277,785,609,216
  5. Step 5: Solve for x
    x = 38,730,277,785,609,216/90,140,976
  6. Step 6: Final answer
    x = 429,663,395.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.