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Finding the Third Proportional to 121,123,190 and 265,694,164

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Solution

The third proportional to 121,123,190 and 265,694,164 is: 582,823,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,123,190 : 265,694,164 = 265,694,164 : x
  2. Step 2: Convert to fraction form
    121,123,190/265,694,164 = 265,694,164/x
  3. Step 3: Cross multiply
    121,123,190x = 265,694,164 × 265,694,164
  4. Step 4: Simplify right side
    121,123,190x = 70,593,388,783,658,896
  5. Step 5: Solve for x
    x = 70,593,388,783,658,896/121,123,190
  6. Step 6: Final answer
    x = 582,823,064.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.