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Finding the Third Proportional to 196,935,291 and 430,932,726

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Solution

The third proportional to 196,935,291 and 430,932,726 is: 942,964,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,935,291 : 430,932,726 = 430,932,726 : x
  2. Step 2: Convert to fraction form
    196,935,291/430,932,726 = 430,932,726/x
  3. Step 3: Cross multiply
    196,935,291x = 430,932,726 × 430,932,726
  4. Step 4: Simplify right side
    196,935,291x = 185,703,014,337,791,072
  5. Step 5: Solve for x
    x = 185,703,014,337,791,072/196,935,291
  6. Step 6: Final answer
    x = 942,964,632.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.