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Finding the Third Proportional to 88,813 and 190,261

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Solution

The third proportional to 88,813 and 190,261 is: 407,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,813 : 190,261 = 190,261 : x
  2. Step 2: Convert to fraction form
    88,813/190,261 = 190,261/x
  3. Step 3: Cross multiply
    88,813x = 190,261 × 190,261
  4. Step 4: Simplify right side
    88,813x = 36,199,248,121
  5. Step 5: Solve for x
    x = 36,199,248,121/88,813
  6. Step 6: Final answer
    x = 407,589.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.