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Finding the Third Proportional to 188,842,305 and 406,382,419.50

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Solution

The third proportional to 188,842,305 and 406,382,419.50 is: 874,521,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842,305 : 406,382,419.50 = 406,382,419.50 : x
  2. Step 2: Convert to fraction form
    188,842,305/406,382,419.50 = 406,382,419.50/x
  3. Step 3: Cross multiply
    188,842,305x = 406,382,419.50 × 406,382,419.50
  4. Step 4: Simplify right side
    188,842,305x = 165,146,670,878,673,984
  5. Step 5: Solve for x
    x = 165,146,670,878,673,984/188,842,305
  6. Step 6: Final answer
    x = 874,521,579.68

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