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Finding the Third Proportional to 178,745,900 and 273,313,317

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Solution

The third proportional to 178,745,900 and 273,313,317 is: 417,912,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,900 : 273,313,317 = 273,313,317 : x
  2. Step 2: Convert to fraction form
    178,745,900/273,313,317 = 273,313,317/x
  3. Step 3: Cross multiply
    178,745,900x = 273,313,317 × 273,313,317
  4. Step 4: Simplify right side
    178,745,900x = 74,700,169,249,542,496
  5. Step 5: Solve for x
    x = 74,700,169,249,542,496/178,745,900
  6. Step 6: Final answer
    x = 417,912,630.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.