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Finding the Third Proportional to 40,226.63 and 76,801.50

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Solution

The third proportional to 40,226.63 and 76,801.50 is: 146,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,226.63 : 76,801.50 = 76,801.50 : x
  2. Step 2: Convert to fraction form
    40,226.63/76,801.50 = 76,801.50/x
  3. Step 3: Cross multiply
    40,226.63x = 76,801.50 × 76,801.50
  4. Step 4: Simplify right side
    40,226.63x = 5,898,470,402.25
  5. Step 5: Solve for x
    x = 5,898,470,402.25/40,226.63
  6. Step 6: Final answer
    x = 146,631.00

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.