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Finding the Third Proportional to 93,377 and 200,069

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Solution

The third proportional to 93,377 and 200,069 is: 428,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,377 : 200,069 = 200,069 : x
  2. Step 2: Convert to fraction form
    93,377/200,069 = 200,069/x
  3. Step 3: Cross multiply
    93,377x = 200,069 × 200,069
  4. Step 4: Simplify right side
    93,377x = 40,027,604,761
  5. Step 5: Solve for x
    x = 40,027,604,761/93,377
  6. Step 6: Final answer
    x = 428,666.64

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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.