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Finding the Third Proportional to 134,608.50 and 196,070.63

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Solution

The third proportional to 134,608.50 and 196,070.63 is: 285,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,608.50 : 196,070.63 = 196,070.63 : x
  2. Step 2: Convert to fraction form
    134,608.50/196,070.63 = 196,070.63/x
  3. Step 3: Cross multiply
    134,608.50x = 196,070.63 × 196,070.63
  4. Step 4: Simplify right side
    134,608.50x = 38,443,689,987.89
  5. Step 5: Solve for x
    x = 38,443,689,987.89/134,608.50
  6. Step 6: Final answer
    x = 285,596.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.