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Finding the Third Proportional to 40,415.06 and 86,909.06

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Solution

The third proportional to 40,415.06 and 86,909.06 is: 186,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.06 : 86,909.06 = 86,909.06 : x
  2. Step 2: Convert to fraction form
    40,415.06/86,909.06 = 86,909.06/x
  3. Step 3: Cross multiply
    40,415.06x = 86,909.06 × 86,909.06
  4. Step 4: Simplify right side
    40,415.06x = 7,553,185,144.63
  5. Step 5: Solve for x
    x = 7,553,185,144.63/40,415.06
  6. Step 6: Final answer
    x = 186,890.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.