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Finding the Third Proportional to 42,314.63 and 92,010.38

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Solution

The third proportional to 42,314.63 and 92,010.38 is: 200,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,314.63 : 92,010.38 = 92,010.38 : x
  2. Step 2: Convert to fraction form
    42,314.63/92,010.38 = 92,010.38/x
  3. Step 3: Cross multiply
    42,314.63x = 92,010.38 × 92,010.38
  4. Step 4: Simplify right side
    42,314.63x = 8,465,909,107.64
  5. Step 5: Solve for x
    x = 8,465,909,107.64/42,314.63
  6. Step 6: Final answer
    x = 200,070.52

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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.