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Finding the Third Proportional to 88,016 and 190,062.25

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Solution

The third proportional to 88,016 and 190,062.25 is: 410,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,016 : 190,062.25 = 190,062.25 : x
  2. Step 2: Convert to fraction form
    88,016/190,062.25 = 190,062.25/x
  3. Step 3: Cross multiply
    88,016x = 190,062.25 × 190,062.25
  4. Step 4: Simplify right side
    88,016x = 36,123,658,875.06
  5. Step 5: Solve for x
    x = 36,123,658,875.06/88,016
  6. Step 6: Final answer
    x = 410,421.50

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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.