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Finding the Third Proportional to 93,434 and 219,352

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Solution

The third proportional to 93,434 and 219,352 is: 514,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,434 : 219,352 = 219,352 : x
  2. Step 2: Convert to fraction form
    93,434/219,352 = 219,352/x
  3. Step 3: Cross multiply
    93,434x = 219,352 × 219,352
  4. Step 4: Simplify right side
    93,434x = 48,115,299,904
  5. Step 5: Solve for x
    x = 48,115,299,904/93,434
  6. Step 6: Final answer
    x = 514,965.64

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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.