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Finding the Third Proportional to 45,191 and 98,428

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Solution

The third proportional to 45,191 and 98,428 is: 214,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,191 : 98,428 = 98,428 : x
  2. Step 2: Convert to fraction form
    45,191/98,428 = 98,428/x
  3. Step 3: Cross multiply
    45,191x = 98,428 × 98,428
  4. Step 4: Simplify right side
    45,191x = 9,688,071,184
  5. Step 5: Solve for x
    x = 9,688,071,184/45,191
  6. Step 6: Final answer
    x = 214,380.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.