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Finding the Third Proportional to 105,266.46 and 161,803.83

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Solution

The third proportional to 105,266.46 and 161,803.83 is: 248,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.46 : 161,803.83 = 161,803.83 : x
  2. Step 2: Convert to fraction form
    105,266.46/161,803.83 = 161,803.83/x
  3. Step 3: Cross multiply
    105,266.46x = 161,803.83 × 161,803.83
  4. Step 4: Simplify right side
    105,266.46x = 26,180,478,795.90
  5. Step 5: Solve for x
    x = 26,180,478,795.90/105,266.46
  6. Step 6: Final answer
    x = 248,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.