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Finding the Third Proportional to 99,444 and 215,820

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Solution

The third proportional to 99,444 and 215,820 is: 468,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,444 : 215,820 = 215,820 : x
  2. Step 2: Convert to fraction form
    99,444/215,820 = 215,820/x
  3. Step 3: Cross multiply
    99,444x = 215,820 × 215,820
  4. Step 4: Simplify right side
    99,444x = 46,578,272,400
  5. Step 5: Solve for x
    x = 46,578,272,400/99,444
  6. Step 6: Final answer
    x = 468,386.96

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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.