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Finding the Third Proportional to 109,026.56 and 230,999.06

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Solution

The third proportional to 109,026.56 and 230,999.06 is: 489,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,026.56 : 230,999.06 = 230,999.06 : x
  2. Step 2: Convert to fraction form
    109,026.56/230,999.06 = 230,999.06/x
  3. Step 3: Cross multiply
    109,026.56x = 230,999.06 × 230,999.06
  4. Step 4: Simplify right side
    109,026.56x = 53,360,566,875.88
  5. Step 5: Solve for x
    x = 53,360,566,875.88/109,026.56
  6. Step 6: Final answer
    x = 489,427.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.