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Finding the Third Proportional to 173,103,164 and 269,580,884

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Solution

The third proportional to 173,103,164 and 269,580,884 is: 419,829,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,103,164 : 269,580,884 = 269,580,884 : x
  2. Step 2: Convert to fraction form
    173,103,164/269,580,884 = 269,580,884/x
  3. Step 3: Cross multiply
    173,103,164x = 269,580,884 × 269,580,884
  4. Step 4: Simplify right side
    173,103,164x = 72,673,853,018,221,456
  5. Step 5: Solve for x
    x = 72,673,853,018,221,456/173,103,164
  6. Step 6: Final answer
    x = 419,829,720.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.