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Finding the Third Proportional to 97,058.80 and 207,611.23

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Solution

The third proportional to 97,058.80 and 207,611.23 is: 444,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,058.80 : 207,611.23 = 207,611.23 : x
  2. Step 2: Convert to fraction form
    97,058.80/207,611.23 = 207,611.23/x
  3. Step 3: Cross multiply
    97,058.80x = 207,611.23 × 207,611.23
  4. Step 4: Simplify right side
    97,058.80x = 43,102,421,394.79
  5. Step 5: Solve for x
    x = 43,102,421,394.79/97,058.80
  6. Step 6: Final answer
    x = 444,085.64

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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.