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Finding the Third Proportional to 77,982,351 and 168,968,304

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Solution

The third proportional to 77,982,351 and 168,968,304 is: 366,112,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982,351 : 168,968,304 = 168,968,304 : x
  2. Step 2: Convert to fraction form
    77,982,351/168,968,304 = 168,968,304/x
  3. Step 3: Cross multiply
    77,982,351x = 168,968,304 × 168,968,304
  4. Step 4: Simplify right side
    77,982,351x = 28,550,287,756,636,416
  5. Step 5: Solve for x
    x = 28,550,287,756,636,416/77,982,351
  6. Step 6: Final answer
    x = 366,112,170.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.