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Finding the Third Proportional to 99,584 and 214,528

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Solution

The third proportional to 99,584 and 214,528 is: 462,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,584 : 214,528 = 214,528 : x
  2. Step 2: Convert to fraction form
    99,584/214,528 = 214,528/x
  3. Step 3: Cross multiply
    99,584x = 214,528 × 214,528
  4. Step 4: Simplify right side
    99,584x = 46,022,262,784
  5. Step 5: Solve for x
    x = 46,022,262,784/99,584
  6. Step 6: Final answer
    x = 462,145.15

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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.