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Finding the Third Proportional to 93,495 and 203,911

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Solution

The third proportional to 93,495 and 203,911 is: 444,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,495 : 203,911 = 203,911 : x
  2. Step 2: Convert to fraction form
    93,495/203,911 = 203,911/x
  3. Step 3: Cross multiply
    93,495x = 203,911 × 203,911
  4. Step 4: Simplify right side
    93,495x = 41,579,695,921
  5. Step 5: Solve for x
    x = 41,579,695,921/93,495
  6. Step 6: Final answer
    x = 444,726.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.