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Finding the Third Proportional to 131,763 and 198,802.50

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Solution

The third proportional to 131,763 and 198,802.50 is: 299,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,763 : 198,802.50 = 198,802.50 : x
  2. Step 2: Convert to fraction form
    131,763/198,802.50 = 198,802.50/x
  3. Step 3: Cross multiply
    131,763x = 198,802.50 × 198,802.50
  4. Step 4: Simplify right side
    131,763x = 39,522,434,006.25
  5. Step 5: Solve for x
    x = 39,522,434,006.25/131,763
  6. Step 6: Final answer
    x = 299,950.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.