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Finding the Third Proportional to 100,473.50 and 214,765.50

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Solution

The third proportional to 100,473.50 and 214,765.50 is: 459,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,473.50 : 214,765.50 = 214,765.50 : x
  2. Step 2: Convert to fraction form
    100,473.50/214,765.50 = 214,765.50/x
  3. Step 3: Cross multiply
    100,473.50x = 214,765.50 × 214,765.50
  4. Step 4: Simplify right side
    100,473.50x = 46,124,219,990.25
  5. Step 5: Solve for x
    x = 46,124,219,990.25/100,473.50
  6. Step 6: Final answer
    x = 459,068.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.