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Finding the Third Proportional to 147,431,352 and 319,923,168.75

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Solution

The third proportional to 147,431,352 and 319,923,168.75 is: 694,227,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431,352 : 319,923,168.75 = 319,923,168.75 : x
  2. Step 2: Convert to fraction form
    147,431,352/319,923,168.75 = 319,923,168.75/x
  3. Step 3: Cross multiply
    147,431,352x = 319,923,168.75 × 319,923,168.75
  4. Step 4: Simplify right side
    147,431,352x = 102,350,833,903,040,976
  5. Step 5: Solve for x
    x = 102,350,833,903,040,976/147,431,352
  6. Step 6: Final answer
    x = 694,227,059.00

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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.