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Finding the Third Proportional to 48,677.94 and 105,140.56

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Solution

The third proportional to 48,677.94 and 105,140.56 is: 227,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677.94 : 105,140.56 = 105,140.56 : x
  2. Step 2: Convert to fraction form
    48,677.94/105,140.56 = 105,140.56/x
  3. Step 3: Cross multiply
    48,677.94x = 105,140.56 × 105,140.56
  4. Step 4: Simplify right side
    48,677.94x = 11,054,537,882.82
  5. Step 5: Solve for x
    x = 11,054,537,882.82/48,677.94
  6. Step 6: Final answer
    x = 227,095.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.