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Finding the Third Proportional to 93,985 and 202,640

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Solution

The third proportional to 93,985 and 202,640 is: 436,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,985 : 202,640 = 202,640 : x
  2. Step 2: Convert to fraction form
    93,985/202,640 = 202,640/x
  3. Step 3: Cross multiply
    93,985x = 202,640 × 202,640
  4. Step 4: Simplify right side
    93,985x = 41,062,969,600
  5. Step 5: Solve for x
    x = 41,062,969,600/93,985
  6. Step 6: Final answer
    x = 436,909.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.