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Finding the Third Proportional to 97,989.75 and 143,203.50

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Solution

The third proportional to 97,989.75 and 143,203.50 is: 209,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,989.75 : 143,203.50 = 143,203.50 : x
  2. Step 2: Convert to fraction form
    97,989.75/143,203.50 = 143,203.50/x
  3. Step 3: Cross multiply
    97,989.75x = 143,203.50 × 143,203.50
  4. Step 4: Simplify right side
    97,989.75x = 20,507,242,412.25
  5. Step 5: Solve for x
    x = 20,507,242,412.25/97,989.75
  6. Step 6: Final answer
    x = 209,279.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.