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Finding the Third Proportional to 148,351,275 and 300,894,948

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Solution

The third proportional to 148,351,275 and 300,894,948 is: 610,293,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,351,275 : 300,894,948 = 300,894,948 : x
  2. Step 2: Convert to fraction form
    148,351,275/300,894,948 = 300,894,948/x
  3. Step 3: Cross multiply
    148,351,275x = 300,894,948 × 300,894,948
  4. Step 4: Simplify right side
    148,351,275x = 90,537,769,731,922,704
  5. Step 5: Solve for x
    x = 90,537,769,731,922,704/148,351,275
  6. Step 6: Final answer
    x = 610,293,168.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.