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Finding the Third Proportional to 96,138 and 210,996

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Solution

The third proportional to 96,138 and 210,996 is: 463,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138 : 210,996 = 210,996 : x
  2. Step 2: Convert to fraction form
    96,138/210,996 = 210,996/x
  3. Step 3: Cross multiply
    96,138x = 210,996 × 210,996
  4. Step 4: Simplify right side
    96,138x = 44,519,312,016
  5. Step 5: Solve for x
    x = 44,519,312,016/96,138
  6. Step 6: Final answer
    x = 463,077.16

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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.