Home / 198,253,777.50-412,799,973.75

Finding the Third Proportional to 198,253,777.50 and 412,799,973.75

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Solution

The third proportional to 198,253,777.50 and 412,799,973.75 is: 859,523,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,253,777.50 : 412,799,973.75 = 412,799,973.75 : x
  2. Step 2: Convert to fraction form
    198,253,777.50/412,799,973.75 = 412,799,973.75/x
  3. Step 3: Cross multiply
    198,253,777.50x = 412,799,973.75 × 412,799,973.75
  4. Step 4: Simplify right side
    198,253,777.50x = 170,403,818,328,000,704
  5. Step 5: Solve for x
    x = 170,403,818,328,000,704/198,253,777.50
  6. Step 6: Final answer
    x = 859,523,689.67

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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.