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Finding the Third Proportional to 48,935 and 105,889.50

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Solution

The third proportional to 48,935 and 105,889.50 is: 229,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,935 : 105,889.50 = 105,889.50 : x
  2. Step 2: Convert to fraction form
    48,935/105,889.50 = 105,889.50/x
  3. Step 3: Cross multiply
    48,935x = 105,889.50 × 105,889.50
  4. Step 4: Simplify right side
    48,935x = 11,212,586,210.25
  5. Step 5: Solve for x
    x = 11,212,586,210.25/48,935
  6. Step 6: Final answer
    x = 229,132.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.