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Finding the Third Proportional to 107,051.63 and 233,168.63

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Solution

The third proportional to 107,051.63 and 233,168.63 is: 507,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,051.63 : 233,168.63 = 233,168.63 : x
  2. Step 2: Convert to fraction form
    107,051.63/233,168.63 = 233,168.63/x
  3. Step 3: Cross multiply
    107,051.63x = 233,168.63 × 233,168.63
  4. Step 4: Simplify right side
    107,051.63x = 54,367,607,684.39
  5. Step 5: Solve for x
    x = 54,367,607,684.39/107,051.63
  6. Step 6: Final answer
    x = 507,863.45

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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.