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Finding the Third Proportional to 141,152,992 and 305,755,832

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Solution

The third proportional to 141,152,992 and 305,755,832 is: 662,307,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152,992 : 305,755,832 = 305,755,832 : x
  2. Step 2: Convert to fraction form
    141,152,992/305,755,832 = 305,755,832/x
  3. Step 3: Cross multiply
    141,152,992x = 305,755,832 × 305,755,832
  4. Step 4: Simplify right side
    141,152,992x = 93,486,628,802,012,224
  5. Step 5: Solve for x
    x = 93,486,628,802,012,224/141,152,992
  6. Step 6: Final answer
    x = 662,307,100.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.