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Finding the Third Proportional to 124,782,150 and 269,294,028

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Solution

The third proportional to 124,782,150 and 269,294,028 is: 581,167,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,150 : 269,294,028 = 269,294,028 : x
  2. Step 2: Convert to fraction form
    124,782,150/269,294,028 = 269,294,028/x
  3. Step 3: Cross multiply
    124,782,150x = 269,294,028 × 269,294,028
  4. Step 4: Simplify right side
    124,782,150x = 72,519,273,516,464,784
  5. Step 5: Solve for x
    x = 72,519,273,516,464,784/124,782,150
  6. Step 6: Final answer
    x = 581,167,046.06

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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.