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Finding the Third Proportional to 69,094.41 and 146,492.16

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Solution

The third proportional to 69,094.41 and 146,492.16 is: 310,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094.41 : 146,492.16 = 146,492.16 : x
  2. Step 2: Convert to fraction form
    69,094.41/146,492.16 = 146,492.16/x
  3. Step 3: Cross multiply
    69,094.41x = 146,492.16 × 146,492.16
  4. Step 4: Simplify right side
    69,094.41x = 21,459,951,842.77
  5. Step 5: Solve for x
    x = 21,459,951,842.77/69,094.41
  6. Step 6: Final answer
    x = 310,588.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.