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Finding the Third Proportional to 148,793.63 and 321,109.31

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Solution

The third proportional to 148,793.63 and 321,109.31 is: 692,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,793.63 : 321,109.31 = 321,109.31 : x
  2. Step 2: Convert to fraction form
    148,793.63/321,109.31 = 321,109.31/x
  3. Step 3: Cross multiply
    148,793.63x = 321,109.31 × 321,109.31
  4. Step 4: Simplify right side
    148,793.63x = 103,111,190,574.22
  5. Step 5: Solve for x
    x = 103,111,190,574.22/148,793.63
  6. Step 6: Final answer
    x = 692,981.24

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