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Finding the Third Proportional to 93,440 and 219,365

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Solution

The third proportional to 93,440 and 219,365 is: 514,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,440 : 219,365 = 219,365 : x
  2. Step 2: Convert to fraction form
    93,440/219,365 = 219,365/x
  3. Step 3: Cross multiply
    93,440x = 219,365 × 219,365
  4. Step 4: Simplify right side
    93,440x = 48,121,003,225
  5. Step 5: Solve for x
    x = 48,121,003,225/93,440
  6. Step 6: Final answer
    x = 514,993.61

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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.