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Finding the Third Proportional to 93,402 and 199,925

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Solution

The third proportional to 93,402 and 199,925 is: 427,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,402 : 199,925 = 199,925 : x
  2. Step 2: Convert to fraction form
    93,402/199,925 = 199,925/x
  3. Step 3: Cross multiply
    93,402x = 199,925 × 199,925
  4. Step 4: Simplify right side
    93,402x = 39,970,005,625
  5. Step 5: Solve for x
    x = 39,970,005,625/93,402
  6. Step 6: Final answer
    x = 427,935.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.