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Finding the Third Proportional to 93,725 and 202,213

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Solution

The third proportional to 93,725 and 202,213 is: 436,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,725 : 202,213 = 202,213 : x
  2. Step 2: Convert to fraction form
    93,725/202,213 = 202,213/x
  3. Step 3: Cross multiply
    93,725x = 202,213 × 202,213
  4. Step 4: Simplify right side
    93,725x = 40,890,097,369
  5. Step 5: Solve for x
    x = 40,890,097,369/93,725
  6. Step 6: Final answer
    x = 436,277.38

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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.