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Finding the Third Proportional to 148,436,214 and 301,048,140

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Solution

The third proportional to 148,436,214 and 301,048,140 is: 610,565,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,436,214 : 301,048,140 = 301,048,140 : x
  2. Step 2: Convert to fraction form
    148,436,214/301,048,140 = 301,048,140/x
  3. Step 3: Cross multiply
    148,436,214x = 301,048,140 × 301,048,140
  4. Step 4: Simplify right side
    148,436,214x = 90,629,982,597,459,600
  5. Step 5: Solve for x
    x = 90,629,982,597,459,600/148,436,214
  6. Step 6: Final answer
    x = 610,565,172.44

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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.