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Finding the Third Proportional to 97,390.13 and 149,494.50

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Solution

The third proportional to 97,390.13 and 149,494.50 is: 229,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,390.13 : 149,494.50 = 149,494.50 : x
  2. Step 2: Convert to fraction form
    97,390.13/149,494.50 = 149,494.50/x
  3. Step 3: Cross multiply
    97,390.13x = 149,494.50 × 149,494.50
  4. Step 4: Simplify right side
    97,390.13x = 22,348,605,530.25
  5. Step 5: Solve for x
    x = 22,348,605,530.25/97,390.13
  6. Step 6: Final answer
    x = 229,475.07

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