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Finding the Third Proportional to 94,222.50 and 205,051.50

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Solution

The third proportional to 94,222.50 and 205,051.50 is: 446,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,222.50 : 205,051.50 = 205,051.50 : x
  2. Step 2: Convert to fraction form
    94,222.50/205,051.50 = 205,051.50/x
  3. Step 3: Cross multiply
    94,222.50x = 205,051.50 × 205,051.50
  4. Step 4: Simplify right side
    94,222.50x = 42,046,117,652.25
  5. Step 5: Solve for x
    x = 42,046,117,652.25/94,222.50
  6. Step 6: Final answer
    x = 446,242.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.