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Finding the Third Proportional to 97,428.19 and 155,147.06

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Solution

The third proportional to 97,428.19 and 155,147.06 is: 247,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428.19 : 155,147.06 = 155,147.06 : x
  2. Step 2: Convert to fraction form
    97,428.19/155,147.06 = 155,147.06/x
  3. Step 3: Cross multiply
    97,428.19x = 155,147.06 × 155,147.06
  4. Step 4: Simplify right side
    97,428.19x = 24,070,611,002.38
  5. Step 5: Solve for x
    x = 24,070,611,002.38/97,428.19
  6. Step 6: Final answer
    x = 247,060.03

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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.