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Finding the Third Proportional to 261,340,720 and 568,769,164

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Solution

The third proportional to 261,340,720 and 568,769,164 is: 1,237,841,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,340,720 : 568,769,164 = 568,769,164 : x
  2. Step 2: Convert to fraction form
    261,340,720/568,769,164 = 568,769,164/x
  3. Step 3: Cross multiply
    261,340,720x = 568,769,164 × 568,769,164
  4. Step 4: Simplify right side
    261,340,720x = 323,498,361,917,258,880
  5. Step 5: Solve for x
    x = 323,498,361,917,258,880/261,340,720
  6. Step 6: Final answer
    x = 1,237,841,396.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.