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Finding the Third Proportional to 98,506 and 211,028

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Solution

The third proportional to 98,506 and 211,028 is: 452,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506 : 211,028 = 211,028 : x
  2. Step 2: Convert to fraction form
    98,506/211,028 = 211,028/x
  3. Step 3: Cross multiply
    98,506x = 211,028 × 211,028
  4. Step 4: Simplify right side
    98,506x = 44,532,816,784
  5. Step 5: Solve for x
    x = 44,532,816,784/98,506
  6. Step 6: Final answer
    x = 452,082.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.