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Finding the Third Proportional to 98,821 and 216,095

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Solution

The third proportional to 98,821 and 216,095 is: 472,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,821 : 216,095 = 216,095 : x
  2. Step 2: Convert to fraction form
    98,821/216,095 = 216,095/x
  3. Step 3: Cross multiply
    98,821x = 216,095 × 216,095
  4. Step 4: Simplify right side
    98,821x = 46,697,049,025
  5. Step 5: Solve for x
    x = 46,697,049,025/98,821
  6. Step 6: Final answer
    x = 472,541.76

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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.