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Finding the Third Proportional to 88,283.50 and 181,214.50

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Solution

The third proportional to 88,283.50 and 181,214.50 is: 371,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,283.50 : 181,214.50 = 181,214.50 : x
  2. Step 2: Convert to fraction form
    88,283.50/181,214.50 = 181,214.50/x
  3. Step 3: Cross multiply
    88,283.50x = 181,214.50 × 181,214.50
  4. Step 4: Simplify right side
    88,283.50x = 32,838,695,010.25
  5. Step 5: Solve for x
    x = 32,838,695,010.25/88,283.50
  6. Step 6: Final answer
    x = 371,968.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.