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Finding the Third Proportional to 188,842,297.50 and 406,382,404.50

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Solution

The third proportional to 188,842,297.50 and 406,382,404.50 is: 874,521,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842,297.50 : 406,382,404.50 = 406,382,404.50 : x
  2. Step 2: Convert to fraction form
    188,842,297.50/406,382,404.50 = 406,382,404.50/x
  3. Step 3: Cross multiply
    188,842,297.50x = 406,382,404.50 × 406,382,404.50
  4. Step 4: Simplify right side
    188,842,297.50x = 165,146,658,687,201,632
  5. Step 5: Solve for x
    x = 165,146,658,687,201,632/188,842,297.50
  6. Step 6: Final answer
    x = 874,521,549.85

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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.