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Finding the Third Proportional to 67,457.81 and 148,498.31

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Solution

The third proportional to 67,457.81 and 148,498.31 is: 326,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,457.81 : 148,498.31 = 148,498.31 : x
  2. Step 2: Convert to fraction form
    67,457.81/148,498.31 = 148,498.31/x
  3. Step 3: Cross multiply
    67,457.81x = 148,498.31 × 148,498.31
  4. Step 4: Simplify right side
    67,457.81x = 22,051,748,815.35
  5. Step 5: Solve for x
    x = 22,051,748,815.35/67,457.81
  6. Step 6: Final answer
    x = 326,896.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.