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Finding the Third Proportional to 93,394.13 and 206,413.31

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Solution

The third proportional to 93,394.13 and 206,413.31 is: 456,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,394.13 : 206,413.31 = 206,413.31 : x
  2. Step 2: Convert to fraction form
    93,394.13/206,413.31 = 206,413.31/x
  3. Step 3: Cross multiply
    93,394.13x = 206,413.31 × 206,413.31
  4. Step 4: Simplify right side
    93,394.13x = 42,606,455,577.22
  5. Step 5: Solve for x
    x = 42,606,455,577.22/93,394.13
  6. Step 6: Final answer
    x = 456,200.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.