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Finding the Third Proportional to 124,183,944 and 261,235,872

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Solution

The third proportional to 124,183,944 and 261,235,872 is: 549,541,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,183,944 : 261,235,872 = 261,235,872 : x
  2. Step 2: Convert to fraction form
    124,183,944/261,235,872 = 261,235,872/x
  3. Step 3: Cross multiply
    124,183,944x = 261,235,872 × 261,235,872
  4. Step 4: Simplify right side
    124,183,944x = 68,244,180,819,600,384
  5. Step 5: Solve for x
    x = 68,244,180,819,600,384/124,183,944
  6. Step 6: Final answer
    x = 549,541,097.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.