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Finding the Third Proportional to 42,426 and 93,326.63

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Solution

The third proportional to 42,426 and 93,326.63 is: 205,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,426 : 93,326.63 = 93,326.63 : x
  2. Step 2: Convert to fraction form
    42,426/93,326.63 = 93,326.63/x
  3. Step 3: Cross multiply
    42,426x = 93,326.63 × 93,326.63
  4. Step 4: Simplify right side
    42,426x = 8,709,858,933.89
  5. Step 5: Solve for x
    x = 8,709,858,933.89/42,426
  6. Step 6: Final answer
    x = 205,295.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.