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Finding the Third Proportional to 42,851.53 and 98,551.69

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Solution

The third proportional to 42,851.53 and 98,551.69 is: 226,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.53 : 98,551.69 = 98,551.69 : x
  2. Step 2: Convert to fraction form
    42,851.53/98,551.69 = 98,551.69/x
  3. Step 3: Cross multiply
    42,851.53x = 98,551.69 × 98,551.69
  4. Step 4: Simplify right side
    42,851.53x = 9,712,435,109.10
  5. Step 5: Solve for x
    x = 9,712,435,109.10/42,851.53
  6. Step 6: Final answer
    x = 226,653.16

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.