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Finding the Third Proportional to 198,844,050 and 432,107,209.50

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Solution

The third proportional to 198,844,050 and 432,107,209.50 is: 939,010,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,844,050 : 432,107,209.50 = 432,107,209.50 : x
  2. Step 2: Convert to fraction form
    198,844,050/432,107,209.50 = 432,107,209.50/x
  3. Step 3: Cross multiply
    198,844,050x = 432,107,209.50 × 432,107,209.50
  4. Step 4: Simplify right side
    198,844,050x = 186,716,640,501,876,896
  5. Step 5: Solve for x
    x = 186,716,640,501,876,896/198,844,050
  6. Step 6: Final answer
    x = 939,010,448.15

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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.