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Finding the Third Proportional to 97,036.50 and 211,158

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Solution

The third proportional to 97,036.50 and 211,158 is: 459,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,036.50 : 211,158 = 211,158 : x
  2. Step 2: Convert to fraction form
    97,036.50/211,158 = 211,158/x
  3. Step 3: Cross multiply
    97,036.50x = 211,158 × 211,158
  4. Step 4: Simplify right side
    97,036.50x = 44,587,700,964
  5. Step 5: Solve for x
    x = 44,587,700,964/97,036.50
  6. Step 6: Final answer
    x = 459,494.12

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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.