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Finding the Third Proportional to 91,699.59 and 189,291.94

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Solution

The third proportional to 91,699.59 and 189,291.94 is: 390,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,699.59 : 189,291.94 = 189,291.94 : x
  2. Step 2: Convert to fraction form
    91,699.59/189,291.94 = 189,291.94/x
  3. Step 3: Cross multiply
    91,699.59x = 189,291.94 × 189,291.94
  4. Step 4: Simplify right side
    91,699.59x = 35,831,437,602.50
  5. Step 5: Solve for x
    x = 35,831,437,602.50/91,699.59
  6. Step 6: Final answer
    x = 390,748.05

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.