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Finding the Third Proportional to 103,531 and 221,826.50

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Solution

The third proportional to 103,531 and 221,826.50 is: 475,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,531 : 221,826.50 = 221,826.50 : x
  2. Step 2: Convert to fraction form
    103,531/221,826.50 = 221,826.50/x
  3. Step 3: Cross multiply
    103,531x = 221,826.50 × 221,826.50
  4. Step 4: Simplify right side
    103,531x = 49,206,996,102.25
  5. Step 5: Solve for x
    x = 49,206,996,102.25/103,531
  6. Step 6: Final answer
    x = 475,287.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.