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Finding the Third Proportional to 48,088.37 and 105,232.29

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Solution

The third proportional to 48,088.37 and 105,232.29 is: 230,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,088.37 : 105,232.29 = 105,232.29 : x
  2. Step 2: Convert to fraction form
    48,088.37/105,232.29 = 105,232.29/x
  3. Step 3: Cross multiply
    48,088.37x = 105,232.29 × 105,232.29
  4. Step 4: Simplify right side
    48,088.37x = 11,073,834,661.33
  5. Step 5: Solve for x
    x = 11,073,834,661.33/48,088.37
  6. Step 6: Final answer
    x = 230,280.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.