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Finding the Third Proportional to 93,404 and 199,929

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Solution

The third proportional to 93,404 and 199,929 is: 427,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,404 : 199,929 = 199,929 : x
  2. Step 2: Convert to fraction form
    93,404/199,929 = 199,929/x
  3. Step 3: Cross multiply
    93,404x = 199,929 × 199,929
  4. Step 4: Simplify right side
    93,404x = 39,971,605,041
  5. Step 5: Solve for x
    x = 39,971,605,041/93,404
  6. Step 6: Final answer
    x = 427,943.18

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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.