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Finding the Third Proportional to 64,498.13 and 151,765.50

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Solution

The third proportional to 64,498.13 and 151,765.50 is: 357,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498.13 : 151,765.50 = 151,765.50 : x
  2. Step 2: Convert to fraction form
    64,498.13/151,765.50 = 151,765.50/x
  3. Step 3: Cross multiply
    64,498.13x = 151,765.50 × 151,765.50
  4. Step 4: Simplify right side
    64,498.13x = 23,032,766,990.25
  5. Step 5: Solve for x
    x = 23,032,766,990.25/64,498.13
  6. Step 6: Final answer
    x = 357,107.54

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.