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Finding the Third Proportional to 216,525,863 and 510,962,282

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Solution

The third proportional to 216,525,863 and 510,962,282 is: 1,205,779,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,863 : 510,962,282 = 510,962,282 : x
  2. Step 2: Convert to fraction form
    216,525,863/510,962,282 = 510,962,282/x
  3. Step 3: Cross multiply
    216,525,863x = 510,962,282 × 510,962,282
  4. Step 4: Simplify right side
    216,525,863x = 261,082,453,626,647,520
  5. Step 5: Solve for x
    x = 261,082,453,626,647,520/216,525,863
  6. Step 6: Final answer
    x = 1,205,779,531.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.