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Finding the Third Proportional to 147,431,369 and 319,923,200

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Solution

The third proportional to 147,431,369 and 319,923,200 is: 694,227,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431,369 : 319,923,200 = 319,923,200 : x
  2. Step 2: Convert to fraction form
    147,431,369/319,923,200 = 319,923,200/x
  3. Step 3: Cross multiply
    147,431,369x = 319,923,200 × 319,923,200
  4. Step 4: Simplify right side
    147,431,369x = 102,350,853,898,240,000
  5. Step 5: Solve for x
    x = 102,350,853,898,240,000/147,431,369
  6. Step 6: Final answer
    x = 694,227,114.57

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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.