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Finding the Third Proportional to 98,113 and 211,905

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Solution

The third proportional to 98,113 and 211,905 is: 457,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113 : 211,905 = 211,905 : x
  2. Step 2: Convert to fraction form
    98,113/211,905 = 211,905/x
  3. Step 3: Cross multiply
    98,113x = 211,905 × 211,905
  4. Step 4: Simplify right side
    98,113x = 44,903,729,025
  5. Step 5: Solve for x
    x = 44,903,729,025/98,113
  6. Step 6: Final answer
    x = 457,673.59

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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.