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Finding the Third Proportional to 297,178,946 and 450,256,137

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Solution

The third proportional to 297,178,946 and 450,256,137 is: 682,183,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,946 : 450,256,137 = 450,256,137 : x
  2. Step 2: Convert to fraction form
    297,178,946/450,256,137 = 450,256,137/x
  3. Step 3: Cross multiply
    297,178,946x = 450,256,137 × 450,256,137
  4. Step 4: Simplify right side
    297,178,946x = 202,730,588,906,162,784
  5. Step 5: Solve for x
    x = 202,730,588,906,162,784/297,178,946
  6. Step 6: Final answer
    x = 682,183,551.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.