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Finding the Third Proportional to 96,437 and 210,010

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Solution

The third proportional to 96,437 and 210,010 is: 457,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,437 : 210,010 = 210,010 : x
  2. Step 2: Convert to fraction form
    96,437/210,010 = 210,010/x
  3. Step 3: Cross multiply
    96,437x = 210,010 × 210,010
  4. Step 4: Simplify right side
    96,437x = 44,104,200,100
  5. Step 5: Solve for x
    x = 44,104,200,100/96,437
  6. Step 6: Final answer
    x = 457,336.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.