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Finding the Third Proportional to 131,426,768 and 280,444,328

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Solution

The third proportional to 131,426,768 and 280,444,328 is: 598,424,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,426,768 : 280,444,328 = 280,444,328 : x
  2. Step 2: Convert to fraction form
    131,426,768/280,444,328 = 280,444,328/x
  3. Step 3: Cross multiply
    131,426,768x = 280,444,328 × 280,444,328
  4. Step 4: Simplify right side
    131,426,768x = 78,649,021,107,371,584
  5. Step 5: Solve for x
    x = 78,649,021,107,371,584/131,426,768
  6. Step 6: Final answer
    x = 598,424,676.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.