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Finding the Third Proportional to 96,411 and 207,622.50

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Solution

The third proportional to 96,411 and 207,622.50 is: 447,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,411 : 207,622.50 = 207,622.50 : x
  2. Step 2: Convert to fraction form
    96,411/207,622.50 = 207,622.50/x
  3. Step 3: Cross multiply
    96,411x = 207,622.50 × 207,622.50
  4. Step 4: Simplify right side
    96,411x = 43,107,102,506.25
  5. Step 5: Solve for x
    x = 43,107,102,506.25/96,411
  6. Step 6: Final answer
    x = 447,118.09

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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.