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Finding the Third Proportional to 147,491,144 and 212,465,964

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Solution

The third proportional to 147,491,144 and 212,465,964 is: 306,064,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,491,144 : 212,465,964 = 212,465,964 : x
  2. Step 2: Convert to fraction form
    147,491,144/212,465,964 = 212,465,964/x
  3. Step 3: Cross multiply
    147,491,144x = 212,465,964 × 212,465,964
  4. Step 4: Simplify right side
    147,491,144x = 45,141,785,858,449,296
  5. Step 5: Solve for x
    x = 45,141,785,858,449,296/147,491,144
  6. Step 6: Final answer
    x = 306,064,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.