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Finding the Third Proportional to 45,456 and 98,304

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Solution

The third proportional to 45,456 and 98,304 is: 212,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456 : 98,304 = 98,304 : x
  2. Step 2: Convert to fraction form
    45,456/98,304 = 98,304/x
  3. Step 3: Cross multiply
    45,456x = 98,304 × 98,304
  4. Step 4: Simplify right side
    45,456x = 9,663,676,416
  5. Step 5: Solve for x
    x = 9,663,676,416/45,456
  6. Step 6: Final answer
    x = 212,594.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.