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Finding the Third Proportional to 45,262 and 99,442

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Solution

The third proportional to 45,262 and 99,442 is: 218,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,262 : 99,442 = 99,442 : x
  2. Step 2: Convert to fraction form
    45,262/99,442 = 99,442/x
  3. Step 3: Cross multiply
    45,262x = 99,442 × 99,442
  4. Step 4: Simplify right side
    45,262x = 9,888,711,364
  5. Step 5: Solve for x
    x = 9,888,711,364/45,262
  6. Step 6: Final answer
    x = 218,477.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.