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Finding the Third Proportional to 105,046.88 and 151,009.31

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Solution

The third proportional to 105,046.88 and 151,009.31 is: 217,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046.88 : 151,009.31 = 151,009.31 : x
  2. Step 2: Convert to fraction form
    105,046.88/151,009.31 = 151,009.31/x
  3. Step 3: Cross multiply
    105,046.88x = 151,009.31 × 151,009.31
  4. Step 4: Simplify right side
    105,046.88x = 22,803,812,461.72
  5. Step 5: Solve for x
    x = 22,803,812,461.72/105,046.88
  6. Step 6: Final answer
    x = 217,082.25

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.