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Finding the Third Proportional to 97,149 and 154,475.50

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Solution

The third proportional to 97,149 and 154,475.50 is: 245,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149 : 154,475.50 = 154,475.50 : x
  2. Step 2: Convert to fraction form
    97,149/154,475.50 = 154,475.50/x
  3. Step 3: Cross multiply
    97,149x = 154,475.50 × 154,475.50
  4. Step 4: Simplify right side
    97,149x = 23,862,680,100.25
  5. Step 5: Solve for x
    x = 23,862,680,100.25/97,149
  6. Step 6: Final answer
    x = 245,629.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.