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Finding the Third Proportional to 221,695.73 and 459,156.09

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Solution

The third proportional to 221,695.73 and 459,156.09 is: 950,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,695.73 : 459,156.09 = 459,156.09 : x
  2. Step 2: Convert to fraction form
    221,695.73/459,156.09 = 459,156.09/x
  3. Step 3: Cross multiply
    221,695.73x = 459,156.09 × 459,156.09
  4. Step 4: Simplify right side
    221,695.73x = 210,824,318,427.76
  5. Step 5: Solve for x
    x = 210,824,318,427.76/221,695.73
  6. Step 6: Final answer
    x = 950,962.45

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.