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Finding the Third Proportional to 96,290 and 210,076

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Solution

The third proportional to 96,290 and 210,076 is: 458,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,290 : 210,076 = 210,076 : x
  2. Step 2: Convert to fraction form
    96,290/210,076 = 210,076/x
  3. Step 3: Cross multiply
    96,290x = 210,076 × 210,076
  4. Step 4: Simplify right side
    96,290x = 44,131,925,776
  5. Step 5: Solve for x
    x = 44,131,925,776/96,290
  6. Step 6: Final answer
    x = 458,323.04

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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.