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Finding the Third Proportional to 262,125,103.50 and 567,867,735

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Solution

The third proportional to 262,125,103.50 and 567,867,735 is: 1,230,228,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,125,103.50 : 567,867,735 = 567,867,735 : x
  2. Step 2: Convert to fraction form
    262,125,103.50/567,867,735 = 567,867,735/x
  3. Step 3: Cross multiply
    262,125,103.50x = 567,867,735 × 567,867,735
  4. Step 4: Simplify right side
    262,125,103.50x = 322,473,764,454,030,208
  5. Step 5: Solve for x
    x = 322,473,764,454,030,208/262,125,103.50
  6. Step 6: Final answer
    x = 1,230,228,467.81

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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.