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Finding the Third Proportional to 96,862.50 and 212,409

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Solution

The third proportional to 96,862.50 and 212,409 is: 465,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,862.50 : 212,409 = 212,409 : x
  2. Step 2: Convert to fraction form
    96,862.50/212,409 = 212,409/x
  3. Step 3: Cross multiply
    96,862.50x = 212,409 × 212,409
  4. Step 4: Simplify right side
    96,862.50x = 45,117,583,281
  5. Step 5: Solve for x
    x = 45,117,583,281/96,862.50
  6. Step 6: Final answer
    x = 465,789.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.