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Finding the Third Proportional to 97,090.50 and 207,674.25

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Solution

The third proportional to 97,090.50 and 207,674.25 is: 444,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,090.50 : 207,674.25 = 207,674.25 : x
  2. Step 2: Convert to fraction form
    97,090.50/207,674.25 = 207,674.25/x
  3. Step 3: Cross multiply
    97,090.50x = 207,674.25 × 207,674.25
  4. Step 4: Simplify right side
    97,090.50x = 43,128,594,113.06
  5. Step 5: Solve for x
    x = 43,128,594,113.06/97,090.50
  6. Step 6: Final answer
    x = 444,210.24

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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.