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Finding the Third Proportional to 65,846,198.25 and 144,727,664.63

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Solution

The third proportional to 65,846,198.25 and 144,727,664.63 is: 318,106,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846,198.25 : 144,727,664.63 = 144,727,664.63 : x
  2. Step 2: Convert to fraction form
    65,846,198.25/144,727,664.63 = 144,727,664.63/x
  3. Step 3: Cross multiply
    65,846,198.25x = 144,727,664.63 × 144,727,664.63
  4. Step 4: Simplify right side
    65,846,198.25x = 20,946,096,907,806,476
  5. Step 5: Solve for x
    x = 20,946,096,907,806,476/65,846,198.25
  6. Step 6: Final answer
    x = 318,106,397.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.