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Finding the Third Proportional to 307,255,093 and 449,217,685.50

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Solution

The third proportional to 307,255,093 and 449,217,685.50 is: 656,771,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,255,093 : 449,217,685.50 = 449,217,685.50 : x
  2. Step 2: Convert to fraction form
    307,255,093/449,217,685.50 = 449,217,685.50/x
  3. Step 3: Cross multiply
    307,255,093x = 449,217,685.50 × 449,217,685.50
  4. Step 4: Simplify right side
    307,255,093x = 201,796,528,965,976,896
  5. Step 5: Solve for x
    x = 201,796,528,965,976,896/307,255,093
  6. Step 6: Final answer
    x = 656,771,957.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.