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Finding the Third Proportional to 98,788 and 213,528

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Solution

The third proportional to 98,788 and 213,528 is: 461,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,788 : 213,528 = 213,528 : x
  2. Step 2: Convert to fraction form
    98,788/213,528 = 213,528/x
  3. Step 3: Cross multiply
    98,788x = 213,528 × 213,528
  4. Step 4: Simplify right side
    98,788x = 45,594,206,784
  5. Step 5: Solve for x
    x = 45,594,206,784/98,788
  6. Step 6: Final answer
    x = 461,535.88

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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.