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Finding the Third Proportional to 101,382,976.50 and 208,140,570

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Solution

The third proportional to 101,382,976.50 and 208,140,570 is: 427,315,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382,976.50 : 208,140,570 = 208,140,570 : x
  2. Step 2: Convert to fraction form
    101,382,976.50/208,140,570 = 208,140,570/x
  3. Step 3: Cross multiply
    101,382,976.50x = 208,140,570 × 208,140,570
  4. Step 4: Simplify right side
    101,382,976.50x = 43,322,496,879,924,896
  5. Step 5: Solve for x
    x = 43,322,496,879,924,896/101,382,976.50
  6. Step 6: Final answer
    x = 427,315,298.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.