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Finding the Third Proportional to 98,185 and 212,054

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Solution

The third proportional to 98,185 and 212,054 is: 457,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,185 : 212,054 = 212,054 : x
  2. Step 2: Convert to fraction form
    98,185/212,054 = 212,054/x
  3. Step 3: Cross multiply
    98,185x = 212,054 × 212,054
  4. Step 4: Simplify right side
    98,185x = 44,966,898,916
  5. Step 5: Solve for x
    x = 44,966,898,916/98,185
  6. Step 6: Final answer
    x = 457,981.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.