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Finding the Third Proportional to 46,981.58 and 102,442.54

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Solution

The third proportional to 46,981.58 and 102,442.54 is: 223,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,981.58 : 102,442.54 = 102,442.54 : x
  2. Step 2: Convert to fraction form
    46,981.58/102,442.54 = 102,442.54/x
  3. Step 3: Cross multiply
    46,981.58x = 102,442.54 × 102,442.54
  4. Step 4: Simplify right side
    46,981.58x = 10,494,473,009.24
  5. Step 5: Solve for x
    x = 10,494,473,009.24/46,981.58
  6. Step 6: Final answer
    x = 223,374.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.