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Finding the Third Proportional to 148,392,906.19 and 317,163,944.81

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Solution

The third proportional to 148,392,906.19 and 317,163,944.81 is: 677,882,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,392,906.19 : 317,163,944.81 = 317,163,944.81 : x
  2. Step 2: Convert to fraction form
    148,392,906.19/317,163,944.81 = 317,163,944.81/x
  3. Step 3: Cross multiply
    148,392,906.19x = 317,163,944.81 × 317,163,944.81
  4. Step 4: Simplify right side
    148,392,906.19x = 100,592,967,889,026,544
  5. Step 5: Solve for x
    x = 100,592,967,889,026,544/148,392,906.19
  6. Step 6: Final answer
    x = 677,882,592.06

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