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Finding the Third Proportional to 97,035.50 and 210,898

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Solution

The third proportional to 97,035.50 and 210,898 is: 458,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,035.50 : 210,898 = 210,898 : x
  2. Step 2: Convert to fraction form
    97,035.50/210,898 = 210,898/x
  3. Step 3: Cross multiply
    97,035.50x = 210,898 × 210,898
  4. Step 4: Simplify right side
    97,035.50x = 44,477,966,404
  5. Step 5: Solve for x
    x = 44,477,966,404/97,035.50
  6. Step 6: Final answer
    x = 458,367.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.