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Finding the Third Proportional to 99,708.75 and 215,263.13

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Solution

The third proportional to 99,708.75 and 215,263.13 is: 464,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708.75 : 215,263.13 = 215,263.13 : x
  2. Step 2: Convert to fraction form
    99,708.75/215,263.13 = 215,263.13/x
  3. Step 3: Cross multiply
    99,708.75x = 215,263.13 × 215,263.13
  4. Step 4: Simplify right side
    99,708.75x = 46,338,212,984.77
  5. Step 5: Solve for x
    x = 46,338,212,984.77/99,708.75
  6. Step 6: Final answer
    x = 464,735.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.