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Finding the Third Proportional to 93,420 and 205,008

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Solution

The third proportional to 93,420 and 205,008 is: 449,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,420 : 205,008 = 205,008 : x
  2. Step 2: Convert to fraction form
    93,420/205,008 = 205,008/x
  3. Step 3: Cross multiply
    93,420x = 205,008 × 205,008
  4. Step 4: Simplify right side
    93,420x = 42,028,280,064
  5. Step 5: Solve for x
    x = 42,028,280,064/93,420
  6. Step 6: Final answer
    x = 449,885.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.