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Finding the Third Proportional to 44,447 and 96,271.75

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Solution

The third proportional to 44,447 and 96,271.75 is: 208,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,447 : 96,271.75 = 96,271.75 : x
  2. Step 2: Convert to fraction form
    44,447/96,271.75 = 96,271.75/x
  3. Step 3: Cross multiply
    44,447x = 96,271.75 × 96,271.75
  4. Step 4: Simplify right side
    44,447x = 9,268,249,848.06
  5. Step 5: Solve for x
    x = 9,268,249,848.06/44,447
  6. Step 6: Final answer
    x = 208,523.63

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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.