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Finding the Third Proportional to 160,397,450,172 and 344,079,211,057

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Solution

The third proportional to 160,397,450,172 and 344,079,211,057 is: 738,107,141,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,397,450,172 : 344,079,211,057 = 344,079,211,057 : x
  2. Step 2: Convert to fraction form
    160,397,450,172/344,079,211,057 = 344,079,211,057/x
  3. Step 3: Cross multiply
    160,397,450,172x = 344,079,211,057 × 344,079,211,057
  4. Step 4: Simplify right side
    160,397,450,172x = 118,390,503,481,607,549,091,840
  5. Step 5: Solve for x
    x = 118,390,503,481,607,549,091,840/160,397,450,172
  6. Step 6: Final answer
    x = 738,107,141,694.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.