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Finding the Third Proportional to 195,032.06 and 291,261.09

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Solution

The third proportional to 195,032.06 and 291,261.09 is: 434,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,032.06 : 291,261.09 = 291,261.09 : x
  2. Step 2: Convert to fraction form
    195,032.06/291,261.09 = 291,261.09/x
  3. Step 3: Cross multiply
    195,032.06x = 291,261.09 × 291,261.09
  4. Step 4: Simplify right side
    195,032.06x = 84,833,024,732.45
  5. Step 5: Solve for x
    x = 84,833,024,732.45/195,032.06
  6. Step 6: Final answer
    x = 434,969.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.