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Finding the Third Proportional to 42,730.03 and 93,661.31

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Solution

The third proportional to 42,730.03 and 93,661.31 is: 205,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,730.03 : 93,661.31 = 93,661.31 : x
  2. Step 2: Convert to fraction form
    42,730.03/93,661.31 = 93,661.31/x
  3. Step 3: Cross multiply
    42,730.03x = 93,661.31 × 93,661.31
  4. Step 4: Simplify right side
    42,730.03x = 8,772,441,459.22
  5. Step 5: Solve for x
    x = 8,772,441,459.22/42,730.03
  6. Step 6: Final answer
    x = 205,299.21

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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.