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Finding the Third Proportional to 132,957.07 and 291,748.08

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Solution

The third proportional to 132,957.07 and 291,748.08 is: 640,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,957.07 : 291,748.08 = 291,748.08 : x
  2. Step 2: Convert to fraction form
    132,957.07/291,748.08 = 291,748.08/x
  3. Step 3: Cross multiply
    132,957.07x = 291,748.08 × 291,748.08
  4. Step 4: Simplify right side
    132,957.07x = 85,116,941,089.63
  5. Step 5: Solve for x
    x = 85,116,941,089.63/132,957.07
  6. Step 6: Final answer
    x = 640,183.64

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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.