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Finding the Third Proportional to 188,301,744 and 406,329,120

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Solution

The third proportional to 188,301,744 and 406,329,120 is: 876,802,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,301,744 : 406,329,120 = 406,329,120 : x
  2. Step 2: Convert to fraction form
    188,301,744/406,329,120 = 406,329,120/x
  3. Step 3: Cross multiply
    188,301,744x = 406,329,120 × 406,329,120
  4. Step 4: Simplify right side
    188,301,744x = 165,103,353,759,974,400
  5. Step 5: Solve for x
    x = 165,103,353,759,974,400/188,301,744
  6. Step 6: Final answer
    x = 876,802,042.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.