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Finding the Third Proportional to 103,922,025 and 145,289,109

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Solution

The third proportional to 103,922,025 and 145,289,109 is: 203,122,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922,025 : 145,289,109 = 145,289,109 : x
  2. Step 2: Convert to fraction form
    103,922,025/145,289,109 = 145,289,109/x
  3. Step 3: Cross multiply
    103,922,025x = 145,289,109 × 145,289,109
  4. Step 4: Simplify right side
    103,922,025x = 21,108,925,194,013,880
  5. Step 5: Solve for x
    x = 21,108,925,194,013,880/103,922,025
  6. Step 6: Final answer
    x = 203,122,727.78

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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.