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Finding the Third Proportional to 93,202 and 199,464

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Solution

The third proportional to 93,202 and 199,464 is: 426,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,202 : 199,464 = 199,464 : x
  2. Step 2: Convert to fraction form
    93,202/199,464 = 199,464/x
  3. Step 3: Cross multiply
    93,202x = 199,464 × 199,464
  4. Step 4: Simplify right side
    93,202x = 39,785,887,296
  5. Step 5: Solve for x
    x = 39,785,887,296/93,202
  6. Step 6: Final answer
    x = 426,878.04

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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.