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Finding the Third Proportional to 48,686.25 and 106,384.50

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Solution

The third proportional to 48,686.25 and 106,384.50 is: 232,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686.25 : 106,384.50 = 106,384.50 : x
  2. Step 2: Convert to fraction form
    48,686.25/106,384.50 = 106,384.50/x
  3. Step 3: Cross multiply
    48,686.25x = 106,384.50 × 106,384.50
  4. Step 4: Simplify right side
    48,686.25x = 11,317,661,840.25
  5. Step 5: Solve for x
    x = 11,317,661,840.25/48,686.25
  6. Step 6: Final answer
    x = 232,461.15

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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.