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Finding the Third Proportional to 97,993.55 and 207,762.15

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Solution

The third proportional to 97,993.55 and 207,762.15 is: 440,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,993.55 : 207,762.15 = 207,762.15 : x
  2. Step 2: Convert to fraction form
    97,993.55/207,762.15 = 207,762.15/x
  3. Step 3: Cross multiply
    97,993.55x = 207,762.15 × 207,762.15
  4. Step 4: Simplify right side
    97,993.55x = 43,165,111,946.51
  5. Step 5: Solve for x
    x = 43,165,111,946.51/97,993.55
  6. Step 6: Final answer
    x = 440,489.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.