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Finding the Third Proportional to 100,466.16 and 155,423.39

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Solution

The third proportional to 100,466.16 and 155,423.39 is: 240,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.16 : 155,423.39 = 155,423.39 : x
  2. Step 2: Convert to fraction form
    100,466.16/155,423.39 = 155,423.39/x
  3. Step 3: Cross multiply
    100,466.16x = 155,423.39 × 155,423.39
  4. Step 4: Simplify right side
    100,466.16x = 24,156,430,353.37
  5. Step 5: Solve for x
    x = 24,156,430,353.37/100,466.16
  6. Step 6: Final answer
    x = 240,443.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.