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Finding the Third Proportional to 93,442 and 219,368

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Solution

The third proportional to 93,442 and 219,368 is: 514,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,442 : 219,368 = 219,368 : x
  2. Step 2: Convert to fraction form
    93,442/219,368 = 219,368/x
  3. Step 3: Cross multiply
    93,442x = 219,368 × 219,368
  4. Step 4: Simplify right side
    93,442x = 48,122,319,424
  5. Step 5: Solve for x
    x = 48,122,319,424/93,442
  6. Step 6: Final answer
    x = 514,996.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.