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Finding the Third Proportional to 45,442.69 and 93,148.31

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Solution

The third proportional to 45,442.69 and 93,148.31 is: 190,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,442.69 : 93,148.31 = 93,148.31 : x
  2. Step 2: Convert to fraction form
    45,442.69/93,148.31 = 93,148.31/x
  3. Step 3: Cross multiply
    45,442.69x = 93,148.31 × 93,148.31
  4. Step 4: Simplify right side
    45,442.69x = 8,676,608,121.60
  5. Step 5: Solve for x
    x = 8,676,608,121.60/45,442.69
  6. Step 6: Final answer
    x = 190,935.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.