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Finding the Third Proportional to 216,380,203 and 510,284,594

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Solution

The third proportional to 216,380,203 and 510,284,594 is: 1,203,392,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,380,203 : 510,284,594 = 510,284,594 : x
  2. Step 2: Convert to fraction form
    216,380,203/510,284,594 = 510,284,594/x
  3. Step 3: Cross multiply
    216,380,203x = 510,284,594 × 510,284,594
  4. Step 4: Simplify right side
    216,380,203x = 260,390,366,873,744,832
  5. Step 5: Solve for x
    x = 260,390,366,873,744,832/216,380,203
  6. Step 6: Final answer
    x = 1,203,392,746.95

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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.