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Finding the Third Proportional to 47,448 and 97,265

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Solution

The third proportional to 47,448 and 97,265 is: 199,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,448 : 97,265 = 97,265 : x
  2. Step 2: Convert to fraction form
    47,448/97,265 = 97,265/x
  3. Step 3: Cross multiply
    47,448x = 97,265 × 97,265
  4. Step 4: Simplify right side
    47,448x = 9,460,480,225
  5. Step 5: Solve for x
    x = 9,460,480,225/47,448
  6. Step 6: Final answer
    x = 199,386.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.