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Finding the Third Proportional to 258,870,682.69 and 554,086,959.75

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Solution

The third proportional to 258,870,682.69 and 554,086,959.75 is: 1,185,968,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,870,682.69 : 554,086,959.75 = 554,086,959.75 : x
  2. Step 2: Convert to fraction form
    258,870,682.69/554,086,959.75 = 554,086,959.75/x
  3. Step 3: Cross multiply
    258,870,682.69x = 554,086,959.75 × 554,086,959.75
  4. Step 4: Simplify right side
    258,870,682.69x = 307,012,358,964,998,144
  5. Step 5: Solve for x
    x = 307,012,358,964,998,144/258,870,682.69
  6. Step 6: Final answer
    x = 1,185,968,050.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.