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Finding the Third Proportional to 259,367,086 and 555,802,184

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Solution

The third proportional to 259,367,086 and 555,802,184 is: 1,191,038,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,367,086 : 555,802,184 = 555,802,184 : x
  2. Step 2: Convert to fraction form
    259,367,086/555,802,184 = 555,802,184/x
  3. Step 3: Cross multiply
    259,367,086x = 555,802,184 × 555,802,184
  4. Step 4: Simplify right side
    259,367,086x = 308,916,067,739,169,856
  5. Step 5: Solve for x
    x = 308,916,067,739,169,856/259,367,086
  6. Step 6: Final answer
    x = 1,191,038,047.67

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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.