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Finding the Third Proportional to 98,053 and 211,657

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Solution

The third proportional to 98,053 and 211,657 is: 456,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053 : 211,657 = 211,657 : x
  2. Step 2: Convert to fraction form
    98,053/211,657 = 211,657/x
  3. Step 3: Cross multiply
    98,053x = 211,657 × 211,657
  4. Step 4: Simplify right side
    98,053x = 44,798,685,649
  5. Step 5: Solve for x
    x = 44,798,685,649/98,053
  6. Step 6: Final answer
    x = 456,882.36

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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.