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Finding the Third Proportional to 218,129,049 and 477,303,709.50

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Solution

The third proportional to 218,129,049 and 477,303,709.50 is: 1,044,422,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,129,049 : 477,303,709.50 = 477,303,709.50 : x
  2. Step 2: Convert to fraction form
    218,129,049/477,303,709.50 = 477,303,709.50/x
  3. Step 3: Cross multiply
    218,129,049x = 477,303,709.50 × 477,303,709.50
  4. Step 4: Simplify right side
    218,129,049x = 227,818,831,102,460,384
  5. Step 5: Solve for x
    x = 227,818,831,102,460,384/218,129,049
  6. Step 6: Final answer
    x = 1,044,422,245.21

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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.