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Finding the Third Proportional to 97,069.50 and 207,632.53

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Solution

The third proportional to 97,069.50 and 207,632.53 is: 444,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,069.50 : 207,632.53 = 207,632.53 : x
  2. Step 2: Convert to fraction form
    97,069.50/207,632.53 = 207,632.53/x
  3. Step 3: Cross multiply
    97,069.50x = 207,632.53 × 207,632.53
  4. Step 4: Simplify right side
    97,069.50x = 43,111,268,033.28
  5. Step 5: Solve for x
    x = 43,111,268,033.28/97,069.50
  6. Step 6: Final answer
    x = 444,127.85

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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.