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Finding the Third Proportional to 107,810,208 and 234,509,856

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Solution

The third proportional to 107,810,208 and 234,509,856 is: 510,108,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,810,208 : 234,509,856 = 234,509,856 : x
  2. Step 2: Convert to fraction form
    107,810,208/234,509,856 = 234,509,856/x
  3. Step 3: Cross multiply
    107,810,208x = 234,509,856 × 234,509,856
  4. Step 4: Simplify right side
    107,810,208x = 54,994,872,561,140,736
  5. Step 5: Solve for x
    x = 54,994,872,561,140,736/107,810,208
  6. Step 6: Final answer
    x = 510,108,213.14

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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.