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Finding the Third Proportional to 97,226 and 210,004

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Solution

The third proportional to 97,226 and 210,004 is: 453,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,226 : 210,004 = 210,004 : x
  2. Step 2: Convert to fraction form
    97,226/210,004 = 210,004/x
  3. Step 3: Cross multiply
    97,226x = 210,004 × 210,004
  4. Step 4: Simplify right side
    97,226x = 44,101,680,016
  5. Step 5: Solve for x
    x = 44,101,680,016/97,226
  6. Step 6: Final answer
    x = 453,599.65

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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.