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Finding the Third Proportional to 93,438 and 219,359

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Solution

The third proportional to 93,438 and 219,359 is: 514,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,438 : 219,359 = 219,359 : x
  2. Step 2: Convert to fraction form
    93,438/219,359 = 219,359/x
  3. Step 3: Cross multiply
    93,438x = 219,359 × 219,359
  4. Step 4: Simplify right side
    93,438x = 48,118,370,881
  5. Step 5: Solve for x
    x = 48,118,370,881/93,438
  6. Step 6: Final answer
    x = 514,976.46

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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.