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Finding the Third Proportional to 94,963 and 221,855

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Solution

The third proportional to 94,963 and 221,855 is: 518,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,963 : 221,855 = 221,855 : x
  2. Step 2: Convert to fraction form
    94,963/221,855 = 221,855/x
  3. Step 3: Cross multiply
    94,963x = 221,855 × 221,855
  4. Step 4: Simplify right side
    94,963x = 49,219,641,025
  5. Step 5: Solve for x
    x = 49,219,641,025/94,963
  6. Step 6: Final answer
    x = 518,303.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.