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Finding the Third Proportional to 45,681,345 and 95,126,998.50

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Solution

The third proportional to 45,681,345 and 95,126,998.50 is: 198,092,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,681,345 : 95,126,998.50 = 95,126,998.50 : x
  2. Step 2: Convert to fraction form
    45,681,345/95,126,998.50 = 95,126,998.50/x
  3. Step 3: Cross multiply
    45,681,345x = 95,126,998.50 × 95,126,998.50
  4. Step 4: Simplify right side
    45,681,345x = 9,049,145,843,619,002
  5. Step 5: Solve for x
    x = 9,049,145,843,619,002/45,681,345
  6. Step 6: Final answer
    x = 198,092,806.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.