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Finding the Third Proportional to 114,911,886 and 255,332,616

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Solution

The third proportional to 114,911,886 and 255,332,616 is: 567,345,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,911,886 : 255,332,616 = 255,332,616 : x
  2. Step 2: Convert to fraction form
    114,911,886/255,332,616 = 255,332,616/x
  3. Step 3: Cross multiply
    114,911,886x = 255,332,616 × 255,332,616
  4. Step 4: Simplify right side
    114,911,886x = 65,194,744,793,403,456
  5. Step 5: Solve for x
    x = 65,194,744,793,403,456/114,911,886
  6. Step 6: Final answer
    x = 567,345,529.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.