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Finding the Third Proportional to 45,230.91 and 68,307.05

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Solution

The third proportional to 45,230.91 and 68,307.05 is: 103,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,230.91 : 68,307.05 = 68,307.05 : x
  2. Step 2: Convert to fraction form
    45,230.91/68,307.05 = 68,307.05/x
  3. Step 3: Cross multiply
    45,230.91x = 68,307.05 × 68,307.05
  4. Step 4: Simplify right side
    45,230.91x = 4,665,852,652.78
  5. Step 5: Solve for x
    x = 4,665,852,652.78/45,230.91
  6. Step 6: Final answer
    x = 103,156.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.