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Finding the Third Proportional to 48,461.63 and 105,924.38

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Solution

The third proportional to 48,461.63 and 105,924.38 is: 231,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,461.63 : 105,924.38 = 105,924.38 : x
  2. Step 2: Convert to fraction form
    48,461.63/105,924.38 = 105,924.38/x
  3. Step 3: Cross multiply
    48,461.63x = 105,924.38 × 105,924.38
  4. Step 4: Simplify right side
    48,461.63x = 11,219,973,219.14
  5. Step 5: Solve for x
    x = 11,219,973,219.14/48,461.63
  6. Step 6: Final answer
    x = 231,522.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.