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Finding the Third Proportional to 67,640,277 and 148,208,100

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Solution

The third proportional to 67,640,277 and 148,208,100 is: 324,742,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,640,277 : 148,208,100 = 148,208,100 : x
  2. Step 2: Convert to fraction form
    67,640,277/148,208,100 = 148,208,100/x
  3. Step 3: Cross multiply
    67,640,277x = 148,208,100 × 148,208,100
  4. Step 4: Simplify right side
    67,640,277x = 21,965,640,905,610,000
  5. Step 5: Solve for x
    x = 21,965,640,905,610,000/67,640,277
  6. Step 6: Final answer
    x = 324,742,030.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.