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Finding the Third Proportional to 42,455.81 and 89,969.06

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Solution

The third proportional to 42,455.81 and 89,969.06 is: 190,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,455.81 : 89,969.06 = 89,969.06 : x
  2. Step 2: Convert to fraction form
    42,455.81/89,969.06 = 89,969.06/x
  3. Step 3: Cross multiply
    42,455.81x = 89,969.06 × 89,969.06
  4. Step 4: Simplify right side
    42,455.81x = 8,094,432,207.13
  5. Step 5: Solve for x
    x = 8,094,432,207.13/42,455.81
  6. Step 6: Final answer
    x = 190,655.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.