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Finding the Third Proportional to 45,997.88 and 102,586.50

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Solution

The third proportional to 45,997.88 and 102,586.50 is: 228,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997.88 : 102,586.50 = 102,586.50 : x
  2. Step 2: Convert to fraction form
    45,997.88/102,586.50 = 102,586.50/x
  3. Step 3: Cross multiply
    45,997.88x = 102,586.50 × 102,586.50
  4. Step 4: Simplify right side
    45,997.88x = 10,523,989,982.25
  5. Step 5: Solve for x
    x = 10,523,989,982.25/45,997.88
  6. Step 6: Final answer
    x = 228,792.96

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.