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Finding the Third Proportional to 133,081.31 and 291,925.69

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Solution

The third proportional to 133,081.31 and 291,925.69 is: 640,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081.31 : 291,925.69 = 291,925.69 : x
  2. Step 2: Convert to fraction form
    133,081.31/291,925.69 = 291,925.69/x
  3. Step 3: Cross multiply
    133,081.31x = 291,925.69 × 291,925.69
  4. Step 4: Simplify right side
    133,081.31x = 85,220,607,022.35
  5. Step 5: Solve for x
    x = 85,220,607,022.35/133,081.31
  6. Step 6: Final answer
    x = 640,364.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.