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Finding the Third Proportional to 84,220 and 181,953.50

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Solution

The third proportional to 84,220 and 181,953.50 is: 393,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,220 : 181,953.50 = 181,953.50 : x
  2. Step 2: Convert to fraction form
    84,220/181,953.50 = 181,953.50/x
  3. Step 3: Cross multiply
    84,220x = 181,953.50 × 181,953.50
  4. Step 4: Simplify right side
    84,220x = 33,107,076,162.25
  5. Step 5: Solve for x
    x = 33,107,076,162.25/84,220
  6. Step 6: Final answer
    x = 393,102.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.