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Finding the Third Proportional to 199,603,546.50 and 436,835,374.50

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Solution

The third proportional to 199,603,546.50 and 436,835,374.50 is: 956,020,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,603,546.50 : 436,835,374.50 = 436,835,374.50 : x
  2. Step 2: Convert to fraction form
    199,603,546.50/436,835,374.50 = 436,835,374.50/x
  3. Step 3: Cross multiply
    199,603,546.50x = 436,835,374.50 × 436,835,374.50
  4. Step 4: Simplify right side
    199,603,546.50x = 190,825,144,414,555,264
  5. Step 5: Solve for x
    x = 190,825,144,414,555,264/199,603,546.50
  6. Step 6: Final answer
    x = 956,020,811.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.