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Finding the Third Proportional to 93,441 and 219,367.50

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Solution

The third proportional to 93,441 and 219,367.50 is: 514,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,441 : 219,367.50 = 219,367.50 : x
  2. Step 2: Convert to fraction form
    93,441/219,367.50 = 219,367.50/x
  3. Step 3: Cross multiply
    93,441x = 219,367.50 × 219,367.50
  4. Step 4: Simplify right side
    93,441x = 48,122,100,056.25
  5. Step 5: Solve for x
    x = 48,122,100,056.25/93,441
  6. Step 6: Final answer
    x = 514,999.84

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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.