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Finding the Third Proportional to 254,336,835 and 550,936,594.50

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Solution

The third proportional to 254,336,835 and 550,936,594.50 is: 1,193,421,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,336,835 : 550,936,594.50 = 550,936,594.50 : x
  2. Step 2: Convert to fraction form
    254,336,835/550,936,594.50 = 550,936,594.50/x
  3. Step 3: Cross multiply
    254,336,835x = 550,936,594.50 × 550,936,594.50
  4. Step 4: Simplify right side
    254,336,835x = 303,531,131,159,257,408
  5. Step 5: Solve for x
    x = 303,531,131,159,257,408/254,336,835
  6. Step 6: Final answer
    x = 1,193,421,830.38

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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.