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Finding the Third Proportional to 124,782,945 and 269,295,366

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Solution

The third proportional to 124,782,945 and 269,295,366 is: 581,169,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,945 : 269,295,366 = 269,295,366 : x
  2. Step 2: Convert to fraction form
    124,782,945/269,295,366 = 269,295,366/x
  3. Step 3: Cross multiply
    124,782,945x = 269,295,366 × 269,295,366
  4. Step 4: Simplify right side
    124,782,945x = 72,519,994,149,073,952
  5. Step 5: Solve for x
    x = 72,519,994,149,073,952/124,782,945
  6. Step 6: Final answer
    x = 581,169,118.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.