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Finding the Third Proportional to 98,149,592 and 206,452,648

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Solution

The third proportional to 98,149,592 and 206,452,648 is: 434,262,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149,592 : 206,452,648 = 206,452,648 : x
  2. Step 2: Convert to fraction form
    98,149,592/206,452,648 = 206,452,648/x
  3. Step 3: Cross multiply
    98,149,592x = 206,452,648 × 206,452,648
  4. Step 4: Simplify right side
    98,149,592x = 42,622,695,866,211,904
  5. Step 5: Solve for x
    x = 42,622,695,866,211,904/98,149,592
  6. Step 6: Final answer
    x = 434,262,588.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.