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Finding the Third Proportional to 219,972,184 and 477,778,408

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Solution

The third proportional to 219,972,184 and 477,778,408 is: 1,037,732,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,972,184 : 477,778,408 = 477,778,408 : x
  2. Step 2: Convert to fraction form
    219,972,184/477,778,408 = 477,778,408/x
  3. Step 3: Cross multiply
    219,972,184x = 477,778,408 × 477,778,408
  4. Step 4: Simplify right side
    219,972,184x = 228,272,207,151,014,464
  5. Step 5: Solve for x
    x = 228,272,207,151,014,464/219,972,184
  6. Step 6: Final answer
    x = 1,037,732,148.67

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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.