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Finding the Third Proportional to 124,782,138 and 269,294,004

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Solution

The third proportional to 124,782,138 and 269,294,004 is: 581,166,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,138 : 269,294,004 = 269,294,004 : x
  2. Step 2: Convert to fraction form
    124,782,138/269,294,004 = 269,294,004/x
  3. Step 3: Cross multiply
    124,782,138x = 269,294,004 × 269,294,004
  4. Step 4: Simplify right side
    124,782,138x = 72,519,260,590,352,016
  5. Step 5: Solve for x
    x = 72,519,260,590,352,016/124,782,138
  6. Step 6: Final answer
    x = 581,166,998.36

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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.