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Finding the Third Proportional to 97,476.75 and 210,022.50

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Solution

The third proportional to 97,476.75 and 210,022.50 is: 452,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,476.75 : 210,022.50 = 210,022.50 : x
  2. Step 2: Convert to fraction form
    97,476.75/210,022.50 = 210,022.50/x
  3. Step 3: Cross multiply
    97,476.75x = 210,022.50 × 210,022.50
  4. Step 4: Simplify right side
    97,476.75x = 44,109,450,506.25
  5. Step 5: Solve for x
    x = 44,109,450,506.25/97,476.75
  6. Step 6: Final answer
    x = 452,512.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.