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Finding the Third Proportional to 147,393,194 and 315,491,628

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Solution

The third proportional to 147,393,194 and 315,491,628 is: 675,302,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,393,194 : 315,491,628 = 315,491,628 : x
  2. Step 2: Convert to fraction form
    147,393,194/315,491,628 = 315,491,628/x
  3. Step 3: Cross multiply
    147,393,194x = 315,491,628 × 315,491,628
  4. Step 4: Simplify right side
    147,393,194x = 99,534,967,338,090,384
  5. Step 5: Solve for x
    x = 99,534,967,338,090,384/147,393,194
  6. Step 6: Final answer
    x = 675,302,330.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.