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Finding the Third Proportional to 48,647.25 and 106,312.50

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Solution

The third proportional to 48,647.25 and 106,312.50 is: 232,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,647.25 : 106,312.50 = 106,312.50 : x
  2. Step 2: Convert to fraction form
    48,647.25/106,312.50 = 106,312.50/x
  3. Step 3: Cross multiply
    48,647.25x = 106,312.50 × 106,312.50
  4. Step 4: Simplify right side
    48,647.25x = 11,302,347,656.25
  5. Step 5: Solve for x
    x = 11,302,347,656.25/48,647.25
  6. Step 6: Final answer
    x = 232,332.71

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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.