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Finding the Third Proportional to 100,215.43 and 216,096.53

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Solution

The third proportional to 100,215.43 and 216,096.53 is: 465,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215.43 : 216,096.53 = 216,096.53 : x
  2. Step 2: Convert to fraction form
    100,215.43/216,096.53 = 216,096.53/x
  3. Step 3: Cross multiply
    100,215.43x = 216,096.53 × 216,096.53
  4. Step 4: Simplify right side
    100,215.43x = 46,697,710,396.22
  5. Step 5: Solve for x
    x = 46,697,710,396.22/100,215.43
  6. Step 6: Final answer
    x = 465,973.25

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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.