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Finding the Third Proportional to 100,888 and 219,248

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Solution

The third proportional to 100,888 and 219,248 is: 476,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,888 : 219,248 = 219,248 : x
  2. Step 2: Convert to fraction form
    100,888/219,248 = 219,248/x
  3. Step 3: Cross multiply
    100,888x = 219,248 × 219,248
  4. Step 4: Simplify right side
    100,888x = 48,069,685,504
  5. Step 5: Solve for x
    x = 48,069,685,504/100,888
  6. Step 6: Final answer
    x = 476,465.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.