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Finding the Third Proportional to 219,760,750.69 and 477,732,765.38

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Solution

The third proportional to 219,760,750.69 and 477,732,765.38 is: 1,038,532,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,760,750.69 : 477,732,765.38 = 477,732,765.38 : x
  2. Step 2: Convert to fraction form
    219,760,750.69/477,732,765.38 = 477,732,765.38/x
  3. Step 3: Cross multiply
    219,760,750.69x = 477,732,765.38 × 477,732,765.38
  4. Step 4: Simplify right side
    219,760,750.69x = 228,228,595,112,844,800
  5. Step 5: Solve for x
    x = 228,228,595,112,844,800/219,760,750.69
  6. Step 6: Final answer
    x = 1,038,532,105.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.