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Finding the Third Proportional to 57,776,908.50 and 117,571,624.88

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Solution

The third proportional to 57,776,908.50 and 117,571,624.88 is: 239,249,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776,908.50 : 117,571,624.88 = 117,571,624.88 : x
  2. Step 2: Convert to fraction form
    57,776,908.50/117,571,624.88 = 117,571,624.88/x
  3. Step 3: Cross multiply
    57,776,908.50x = 117,571,624.88 × 117,571,624.88
  4. Step 4: Simplify right side
    57,776,908.50x = 13,823,086,975,747,718
  5. Step 5: Solve for x
    x = 13,823,086,975,747,718/57,776,908.50
  6. Step 6: Final answer
    x = 239,249,335.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.