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Finding the Third Proportional to 42,135.19 and 91,302.19

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Solution

The third proportional to 42,135.19 and 91,302.19 is: 197,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.19 : 91,302.19 = 91,302.19 : x
  2. Step 2: Convert to fraction form
    42,135.19/91,302.19 = 91,302.19/x
  3. Step 3: Cross multiply
    42,135.19x = 91,302.19 × 91,302.19
  4. Step 4: Simplify right side
    42,135.19x = 8,336,089,442.29
  5. Step 5: Solve for x
    x = 8,336,089,442.29/42,135.19
  6. Step 6: Final answer
    x = 197,841.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.