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Finding the Third Proportional to 93,440 and 219,364

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Solution

The third proportional to 93,440 and 219,364 is: 514,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,440 : 219,364 = 219,364 : x
  2. Step 2: Convert to fraction form
    93,440/219,364 = 219,364/x
  3. Step 3: Cross multiply
    93,440x = 219,364 × 219,364
  4. Step 4: Simplify right side
    93,440x = 48,120,564,496
  5. Step 5: Solve for x
    x = 48,120,564,496/93,440
  6. Step 6: Final answer
    x = 514,988.92

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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.