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Finding the Third Proportional to 99,291.38 and 216,054.75

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Solution

The third proportional to 99,291.38 and 216,054.75 is: 470,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,291.38 : 216,054.75 = 216,054.75 : x
  2. Step 2: Convert to fraction form
    99,291.38/216,054.75 = 216,054.75/x
  3. Step 3: Cross multiply
    99,291.38x = 216,054.75 × 216,054.75
  4. Step 4: Simplify right side
    99,291.38x = 46,679,654,997.56
  5. Step 5: Solve for x
    x = 46,679,654,997.56/99,291.38
  6. Step 6: Final answer
    x = 470,127.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.