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Finding the Third Proportional to 194,299,447 and 277,850,343.25

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Solution

The third proportional to 194,299,447 and 277,850,343.25 is: 397,329,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299,447 : 277,850,343.25 = 277,850,343.25 : x
  2. Step 2: Convert to fraction form
    194,299,447/277,850,343.25 = 277,850,343.25/x
  3. Step 3: Cross multiply
    194,299,447x = 277,850,343.25 × 277,850,343.25
  4. Step 4: Simplify right side
    194,299,447x = 77,200,813,244,142,816
  5. Step 5: Solve for x
    x = 77,200,813,244,142,816/194,299,447
  6. Step 6: Final answer
    x = 397,329,042.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.