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Finding the Third Proportional to 69,100,608 and 151,218,304

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Solution

The third proportional to 69,100,608 and 151,218,304 is: 330,922,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,100,608 : 151,218,304 = 151,218,304 : x
  2. Step 2: Convert to fraction form
    69,100,608/151,218,304 = 151,218,304/x
  3. Step 3: Cross multiply
    69,100,608x = 151,218,304 × 151,218,304
  4. Step 4: Simplify right side
    69,100,608x = 22,866,975,464,636,416
  5. Step 5: Solve for x
    x = 22,866,975,464,636,416/69,100,608
  6. Step 6: Final answer
    x = 330,922,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.