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Finding the Third Proportional to 98,052.19 and 211,656.38

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Solution

The third proportional to 98,052.19 and 211,656.38 is: 456,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052.19 : 211,656.38 = 211,656.38 : x
  2. Step 2: Convert to fraction form
    98,052.19/211,656.38 = 211,656.38/x
  3. Step 3: Cross multiply
    98,052.19x = 211,656.38 × 211,656.38
  4. Step 4: Simplify right side
    98,052.19x = 44,798,421,078.14
  5. Step 5: Solve for x
    x = 44,798,421,078.14/98,052.19
  6. Step 6: Final answer
    x = 456,883.44

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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.