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Finding the Third Proportional to 91,028 and 186,430

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Solution

The third proportional to 91,028 and 186,430 is: 381,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,028 : 186,430 = 186,430 : x
  2. Step 2: Convert to fraction form
    91,028/186,430 = 186,430/x
  3. Step 3: Cross multiply
    91,028x = 186,430 × 186,430
  4. Step 4: Simplify right side
    91,028x = 34,756,144,900
  5. Step 5: Solve for x
    x = 34,756,144,900/91,028
  6. Step 6: Final answer
    x = 381,818.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.