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Finding the Third Proportional to 197,068,082 and 277,163,072

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Solution

The third proportional to 197,068,082 and 277,163,072 is: 389,811,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,068,082 : 277,163,072 = 277,163,072 : x
  2. Step 2: Convert to fraction form
    197,068,082/277,163,072 = 277,163,072/x
  3. Step 3: Cross multiply
    197,068,082x = 277,163,072 × 277,163,072
  4. Step 4: Simplify right side
    197,068,082x = 76,819,368,480,477,184
  5. Step 5: Solve for x
    x = 76,819,368,480,477,184/197,068,082
  6. Step 6: Final answer
    x = 389,811,316.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.