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Finding the Third Proportional to 48,689 and 102,297.50

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Solution

The third proportional to 48,689 and 102,297.50 is: 214,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,689 : 102,297.50 = 102,297.50 : x
  2. Step 2: Convert to fraction form
    48,689/102,297.50 = 102,297.50/x
  3. Step 3: Cross multiply
    48,689x = 102,297.50 × 102,297.50
  4. Step 4: Simplify right side
    48,689x = 10,464,778,506.25
  5. Step 5: Solve for x
    x = 10,464,778,506.25/48,689
  6. Step 6: Final answer
    x = 214,931.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.