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Finding the Third Proportional to 197,925,126 and 409,427,148

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Solution

The third proportional to 197,925,126 and 409,427,148 is: 846,939,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,925,126 : 409,427,148 = 409,427,148 : x
  2. Step 2: Convert to fraction form
    197,925,126/409,427,148 = 409,427,148/x
  3. Step 3: Cross multiply
    197,925,126x = 409,427,148 × 409,427,148
  4. Step 4: Simplify right side
    197,925,126x = 167,630,589,519,413,888
  5. Step 5: Solve for x
    x = 167,630,589,519,413,888/197,925,126
  6. Step 6: Final answer
    x = 846,939,410.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.