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Finding the Third Proportional to 107,044.50 and 233,157

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Solution

The third proportional to 107,044.50 and 233,157 is: 507,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044.50 : 233,157 = 233,157 : x
  2. Step 2: Convert to fraction form
    107,044.50/233,157 = 233,157/x
  3. Step 3: Cross multiply
    107,044.50x = 233,157 × 233,157
  4. Step 4: Simplify right side
    107,044.50x = 54,362,186,649
  5. Step 5: Solve for x
    x = 54,362,186,649/107,044.50
  6. Step 6: Final answer
    x = 507,846.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.