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Finding the Third Proportional to 97,412.63 and 149,581.69

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Solution

The third proportional to 97,412.63 and 149,581.69 is: 229,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,412.63 : 149,581.69 = 149,581.69 : x
  2. Step 2: Convert to fraction form
    97,412.63/149,581.69 = 149,581.69/x
  3. Step 3: Cross multiply
    97,412.63x = 149,581.69 × 149,581.69
  4. Step 4: Simplify right side
    97,412.63x = 22,374,681,235.35
  5. Step 5: Solve for x
    x = 22,374,681,235.35/97,412.63
  6. Step 6: Final answer
    x = 229,689.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.