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Finding the Third Proportional to 96,184,278 and 195,044,995.13

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Solution

The third proportional to 96,184,278 and 195,044,995.13 is: 395,517,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,184,278 : 195,044,995.13 = 195,044,995.13 : x
  2. Step 2: Convert to fraction form
    96,184,278/195,044,995.13 = 195,044,995.13/x
  3. Step 3: Cross multiply
    96,184,278x = 195,044,995.13 × 195,044,995.13
  4. Step 4: Simplify right side
    96,184,278x = 38,042,550,123,311,272
  5. Step 5: Solve for x
    x = 38,042,550,123,311,272/96,184,278
  6. Step 6: Final answer
    x = 395,517,343.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.