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Finding the Third Proportional to 110,535.47 and 236,842.31

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Solution

The third proportional to 110,535.47 and 236,842.31 is: 507,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,535.47 : 236,842.31 = 236,842.31 : x
  2. Step 2: Convert to fraction form
    110,535.47/236,842.31 = 236,842.31/x
  3. Step 3: Cross multiply
    110,535.47x = 236,842.31 × 236,842.31
  4. Step 4: Simplify right side
    110,535.47x = 56,094,280,990.35
  5. Step 5: Solve for x
    x = 56,094,280,990.35/110,535.47
  6. Step 6: Final answer
    x = 507,477.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.