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Finding the Third Proportional to 65,793,048 and 142,569,204

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Solution

The third proportional to 65,793,048 and 142,569,204 is: 308,938,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,793,048 : 142,569,204 = 142,569,204 : x
  2. Step 2: Convert to fraction form
    65,793,048/142,569,204 = 142,569,204/x
  3. Step 3: Cross multiply
    65,793,048x = 142,569,204 × 142,569,204
  4. Step 4: Simplify right side
    65,793,048x = 20,325,977,929,193,616
  5. Step 5: Solve for x
    x = 20,325,977,929,193,616/65,793,048
  6. Step 6: Final answer
    x = 308,938,080.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.