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Finding the Third Proportional to 219,631,184 and 477,508,768

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Solution

The third proportional to 219,631,184 and 477,508,768 is: 1,038,170,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,631,184 : 477,508,768 = 477,508,768 : x
  2. Step 2: Convert to fraction form
    219,631,184/477,508,768 = 477,508,768/x
  3. Step 3: Cross multiply
    219,631,184x = 477,508,768 × 477,508,768
  4. Step 4: Simplify right side
    219,631,184x = 228,014,623,516,877,824
  5. Step 5: Solve for x
    x = 228,014,623,516,877,824/219,631,184
  6. Step 6: Final answer
    x = 1,038,170,533.73

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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.