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Finding the Third Proportional to 98,628 and 216,900

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Solution

The third proportional to 98,628 and 216,900 is: 477,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,628 : 216,900 = 216,900 : x
  2. Step 2: Convert to fraction form
    98,628/216,900 = 216,900/x
  3. Step 3: Cross multiply
    98,628x = 216,900 × 216,900
  4. Step 4: Simplify right side
    98,628x = 47,045,610,000
  5. Step 5: Solve for x
    x = 47,045,610,000/98,628
  6. Step 6: Final answer
    x = 477,000.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.