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Finding the Third Proportional to 64,458.56 and 98,357.06

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Solution

The third proportional to 64,458.56 and 98,357.06 is: 150,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,458.56 : 98,357.06 = 98,357.06 : x
  2. Step 2: Convert to fraction form
    64,458.56/98,357.06 = 98,357.06/x
  3. Step 3: Cross multiply
    64,458.56x = 98,357.06 × 98,357.06
  4. Step 4: Simplify right side
    64,458.56x = 9,674,111,743.63
  5. Step 5: Solve for x
    x = 9,674,111,743.63/64,458.56
  6. Step 6: Final answer
    x = 150,082.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.