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Finding the Third Proportional to 148,096,208 and 318,950,696

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Solution

The third proportional to 148,096,208 and 318,950,696 is: 686,915,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,096,208 : 318,950,696 = 318,950,696 : x
  2. Step 2: Convert to fraction form
    148,096,208/318,950,696 = 318,950,696/x
  3. Step 3: Cross multiply
    148,096,208x = 318,950,696 × 318,950,696
  4. Step 4: Simplify right side
    148,096,208x = 101,729,546,478,884,416
  5. Step 5: Solve for x
    x = 101,729,546,478,884,416/148,096,208
  6. Step 6: Final answer
    x = 686,915,268.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.