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Finding the Third Proportional to 196,775,377 and 430,618,919

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Solution

The third proportional to 196,775,377 and 430,618,919 is: 942,356,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,775,377 : 430,618,919 = 430,618,919 : x
  2. Step 2: Convert to fraction form
    196,775,377/430,618,919 = 430,618,919/x
  3. Step 3: Cross multiply
    196,775,377x = 430,618,919 × 430,618,919
  4. Step 4: Simplify right side
    196,775,377x = 185,432,653,400,728,576
  5. Step 5: Solve for x
    x = 185,432,653,400,728,576/196,775,377
  6. Step 6: Final answer
    x = 942,356,997.24

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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.