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Finding the Third Proportional to 198,844,050 and 432,107,208

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Solution

The third proportional to 198,844,050 and 432,107,208 is: 939,010,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,844,050 : 432,107,208 = 432,107,208 : x
  2. Step 2: Convert to fraction form
    198,844,050/432,107,208 = 432,107,208/x
  3. Step 3: Cross multiply
    198,844,050x = 432,107,208 × 432,107,208
  4. Step 4: Simplify right side
    198,844,050x = 186,716,639,205,555,264
  5. Step 5: Solve for x
    x = 186,716,639,205,555,264/198,844,050
  6. Step 6: Final answer
    x = 939,010,441.63

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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.