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Finding the Third Proportional to 74,112,304 and 160,982,736

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Solution

The third proportional to 74,112,304 and 160,982,736 is: 349,677,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,304 : 160,982,736 = 160,982,736 : x
  2. Step 2: Convert to fraction form
    74,112,304/160,982,736 = 160,982,736/x
  3. Step 3: Cross multiply
    74,112,304x = 160,982,736 × 160,982,736
  4. Step 4: Simplify right side
    74,112,304x = 25,915,441,290,045,696
  5. Step 5: Solve for x
    x = 25,915,441,290,045,696/74,112,304
  6. Step 6: Final answer
    x = 349,677,987.21

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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.