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Finding the Third Proportional to 196,935,290 and 430,932,724

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Solution

The third proportional to 196,935,290 and 430,932,724 is: 942,964,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,935,290 : 430,932,724 = 430,932,724 : x
  2. Step 2: Convert to fraction form
    196,935,290/430,932,724 = 430,932,724/x
  3. Step 3: Cross multiply
    196,935,290x = 430,932,724 × 430,932,724
  4. Step 4: Simplify right side
    196,935,290x = 185,703,012,614,060,160
  5. Step 5: Solve for x
    x = 185,703,012,614,060,160/196,935,290
  6. Step 6: Final answer
    x = 942,964,628.71

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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.