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Finding the Third Proportional to 99,006 and 216,726

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Solution

The third proportional to 99,006 and 216,726 is: 474,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,006 : 216,726 = 216,726 : x
  2. Step 2: Convert to fraction form
    99,006/216,726 = 216,726/x
  3. Step 3: Cross multiply
    99,006x = 216,726 × 216,726
  4. Step 4: Simplify right side
    99,006x = 46,970,159,076
  5. Step 5: Solve for x
    x = 46,970,159,076/99,006
  6. Step 6: Final answer
    x = 474,417.30

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Why These Related Problems?

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