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Finding the Third Proportional to 103,922,111 and 145,289,237

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Solution

The third proportional to 103,922,111 and 145,289,237 is: 203,122,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922,111 : 145,289,237 = 145,289,237 : x
  2. Step 2: Convert to fraction form
    103,922,111/145,289,237 = 145,289,237/x
  3. Step 3: Cross multiply
    103,922,111x = 145,289,237 × 145,289,237
  4. Step 4: Simplify right side
    103,922,111x = 21,108,962,388,042,168
  5. Step 5: Solve for x
    x = 21,108,962,388,042,168/103,922,111
  6. Step 6: Final answer
    x = 203,122,917.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.