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Finding the Third Proportional to 73,104,698 and 160,556,546

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Solution

The third proportional to 73,104,698 and 160,556,546 is: 352,623,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,104,698 : 160,556,546 = 160,556,546 : x
  2. Step 2: Convert to fraction form
    73,104,698/160,556,546 = 160,556,546/x
  3. Step 3: Cross multiply
    73,104,698x = 160,556,546 × 160,556,546
  4. Step 4: Simplify right side
    73,104,698x = 25,778,404,463,450,116
  5. Step 5: Solve for x
    x = 25,778,404,463,450,116/73,104,698
  6. Step 6: Final answer
    x = 352,623,089.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.