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Finding the Third Proportional to 105,622.50 and 234,860.25

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Solution

The third proportional to 105,622.50 and 234,860.25 is: 522,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.50 : 234,860.25 = 234,860.25 : x
  2. Step 2: Convert to fraction form
    105,622.50/234,860.25 = 234,860.25/x
  3. Step 3: Cross multiply
    105,622.50x = 234,860.25 × 234,860.25
  4. Step 4: Simplify right side
    105,622.50x = 55,159,337,030.06
  5. Step 5: Solve for x
    x = 55,159,337,030.06/105,622.50
  6. Step 6: Final answer
    x = 522,230.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.