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Finding the Third Proportional to 99,616 and 216,064

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Solution

The third proportional to 99,616 and 216,064 is: 468,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,616 : 216,064 = 216,064 : x
  2. Step 2: Convert to fraction form
    99,616/216,064 = 216,064/x
  3. Step 3: Cross multiply
    99,616x = 216,064 × 216,064
  4. Step 4: Simplify right side
    99,616x = 46,683,652,096
  5. Step 5: Solve for x
    x = 46,683,652,096/99,616
  6. Step 6: Final answer
    x = 468,636.08

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Why These Related Problems?

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