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Finding the Third Proportional to 124,782,516 and 269,294,760

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Solution

The third proportional to 124,782,516 and 269,294,760 is: 581,168,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,516 : 269,294,760 = 269,294,760 : x
  2. Step 2: Convert to fraction form
    124,782,516/269,294,760 = 269,294,760/x
  3. Step 3: Cross multiply
    124,782,516x = 269,294,760 × 269,294,760
  4. Step 4: Simplify right side
    124,782,516x = 72,519,667,763,457,600
  5. Step 5: Solve for x
    x = 72,519,667,763,457,600/124,782,516
  6. Step 6: Final answer
    x = 581,168,500.91

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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.