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Finding the Third Proportional to 124,782,132 and 269,293,992

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Solution

The third proportional to 124,782,132 and 269,293,992 is: 581,166,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,132 : 269,293,992 = 269,293,992 : x
  2. Step 2: Convert to fraction form
    124,782,132/269,293,992 = 269,293,992/x
  3. Step 3: Cross multiply
    124,782,132x = 269,293,992 × 269,293,992
  4. Step 4: Simplify right side
    124,782,132x = 72,519,254,127,296,064
  5. Step 5: Solve for x
    x = 72,519,254,127,296,064/124,782,132
  6. Step 6: Final answer
    x = 581,166,974.51

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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.