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Finding the Third Proportional to 98,980.88 and 215,827.88

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Solution

The third proportional to 98,980.88 and 215,827.88 is: 470,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,980.88 : 215,827.88 = 215,827.88 : x
  2. Step 2: Convert to fraction form
    98,980.88/215,827.88 = 215,827.88/x
  3. Step 3: Cross multiply
    98,980.88x = 215,827.88 × 215,827.88
  4. Step 4: Simplify right side
    98,980.88x = 46,581,671,627.02
  5. Step 5: Solve for x
    x = 46,581,671,627.02/98,980.88
  6. Step 6: Final answer
    x = 470,612.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.