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Finding the Third Proportional to 89,130.38 and 194,855.63

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Solution

The third proportional to 89,130.38 and 194,855.63 is: 425,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,130.38 : 194,855.63 = 194,855.63 : x
  2. Step 2: Convert to fraction form
    89,130.38/194,855.63 = 194,855.63/x
  3. Step 3: Cross multiply
    89,130.38x = 194,855.63 × 194,855.63
  4. Step 4: Simplify right side
    89,130.38x = 37,968,714,594.14
  5. Step 5: Solve for x
    x = 37,968,714,594.14/89,130.38
  6. Step 6: Final answer
    x = 425,990.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.