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Finding the Third Proportional to 93,498 and 200,391

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Solution

The third proportional to 93,498 and 200,391 is: 429,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498 : 200,391 = 200,391 : x
  2. Step 2: Convert to fraction form
    93,498/200,391 = 200,391/x
  3. Step 3: Cross multiply
    93,498x = 200,391 × 200,391
  4. Step 4: Simplify right side
    93,498x = 40,156,552,881
  5. Step 5: Solve for x
    x = 40,156,552,881/93,498
  6. Step 6: Final answer
    x = 429,491.04

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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.