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Finding the Third Proportional to 216,380,205 and 510,284,599

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Solution

The third proportional to 216,380,205 and 510,284,599 is: 1,203,392,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,380,205 : 510,284,599 = 510,284,599 : x
  2. Step 2: Convert to fraction form
    216,380,205/510,284,599 = 510,284,599/x
  3. Step 3: Cross multiply
    216,380,205x = 510,284,599 × 510,284,599
  4. Step 4: Simplify right side
    216,380,205x = 260,390,371,976,590,816
  5. Step 5: Solve for x
    x = 260,390,371,976,590,816/216,380,205
  6. Step 6: Final answer
    x = 1,203,392,759.41

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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.