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Finding the Third Proportional to 97,896 and 210,024

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Solution

The third proportional to 97,896 and 210,024 is: 450,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896 : 210,024 = 210,024 : x
  2. Step 2: Convert to fraction form
    97,896/210,024 = 210,024/x
  3. Step 3: Cross multiply
    97,896x = 210,024 × 210,024
  4. Step 4: Simplify right side
    97,896x = 44,110,080,576
  5. Step 5: Solve for x
    x = 44,110,080,576/97,896
  6. Step 6: Final answer
    x = 450,581.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.