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Finding the Third Proportional to 94,773 and 206,152.50

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Solution

The third proportional to 94,773 and 206,152.50 is: 448,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,773 : 206,152.50 = 206,152.50 : x
  2. Step 2: Convert to fraction form
    94,773/206,152.50 = 206,152.50/x
  3. Step 3: Cross multiply
    94,773x = 206,152.50 × 206,152.50
  4. Step 4: Simplify right side
    94,773x = 42,498,853,256.25
  5. Step 5: Solve for x
    x = 42,498,853,256.25/94,773
  6. Step 6: Final answer
    x = 448,427.86

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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.