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Finding the Third Proportional to 147,431,354 and 319,923,173

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Solution

The third proportional to 147,431,354 and 319,923,173 is: 694,227,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431,354 : 319,923,173 = 319,923,173 : x
  2. Step 2: Convert to fraction form
    147,431,354/319,923,173 = 319,923,173/x
  3. Step 3: Cross multiply
    147,431,354x = 319,923,173 × 319,923,173
  4. Step 4: Simplify right side
    147,431,354x = 102,350,836,622,387,936
  5. Step 5: Solve for x
    x = 102,350,836,622,387,936/147,431,354
  6. Step 6: Final answer
    x = 694,227,068.03

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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.