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Finding the Third Proportional to 148,436,220 and 301,048,152

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Solution

The third proportional to 148,436,220 and 301,048,152 is: 610,565,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,436,220 : 301,048,152 = 301,048,152 : x
  2. Step 2: Convert to fraction form
    148,436,220/301,048,152 = 301,048,152/x
  3. Step 3: Cross multiply
    148,436,220x = 301,048,152 × 301,048,152
  4. Step 4: Simplify right side
    148,436,220x = 90,629,989,822,615,104
  5. Step 5: Solve for x
    x = 90,629,989,822,615,104/148,436,220
  6. Step 6: Final answer
    x = 610,565,196.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.