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Finding the Third Proportional to 99,741 and 216,437

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Solution

The third proportional to 99,741 and 216,437 is: 469,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741 : 216,437 = 216,437 : x
  2. Step 2: Convert to fraction form
    99,741/216,437 = 216,437/x
  3. Step 3: Cross multiply
    99,741x = 216,437 × 216,437
  4. Step 4: Simplify right side
    99,741x = 46,844,974,969
  5. Step 5: Solve for x
    x = 46,844,974,969/99,741
  6. Step 6: Final answer
    x = 469,666.19

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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.