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Finding the Third Proportional to 44,358.19 and 97,304.34

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Solution

The third proportional to 44,358.19 and 97,304.34 is: 213,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,358.19 : 97,304.34 = 97,304.34 : x
  2. Step 2: Convert to fraction form
    44,358.19/97,304.34 = 97,304.34/x
  3. Step 3: Cross multiply
    44,358.19x = 97,304.34 × 97,304.34
  4. Step 4: Simplify right side
    44,358.19x = 9,468,135,312.62
  5. Step 5: Solve for x
    x = 9,468,135,312.62/44,358.19
  6. Step 6: Final answer
    x = 213,447.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.