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Finding the Third Proportional to 48,389.63 and 113,864.06

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Solution

The third proportional to 48,389.63 and 113,864.06 is: 267,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,389.63 : 113,864.06 = 113,864.06 : x
  2. Step 2: Convert to fraction form
    48,389.63/113,864.06 = 113,864.06/x
  3. Step 3: Cross multiply
    48,389.63x = 113,864.06 × 113,864.06
  4. Step 4: Simplify right side
    48,389.63x = 12,965,024,729.00
  5. Step 5: Solve for x
    x = 12,965,024,729.00/48,389.63
  6. Step 6: Final answer
    x = 267,929.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.