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Finding the Third Proportional to 58,631.81 and 114,347.44

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Solution

The third proportional to 58,631.81 and 114,347.44 is: 223,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,631.81 : 114,347.44 = 114,347.44 : x
  2. Step 2: Convert to fraction form
    58,631.81/114,347.44 = 114,347.44/x
  3. Step 3: Cross multiply
    58,631.81x = 114,347.44 × 114,347.44
  4. Step 4: Simplify right side
    58,631.81x = 13,075,336,462.82
  5. Step 5: Solve for x
    x = 13,075,336,462.82/58,631.81
  6. Step 6: Final answer
    x = 223,007.54

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.