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Finding the Third Proportional to 250,373,307 and 537,768,123

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Solution

The third proportional to 250,373,307 and 537,768,123 is: 1,155,053,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,373,307 : 537,768,123 = 537,768,123 : x
  2. Step 2: Convert to fraction form
    250,373,307/537,768,123 = 537,768,123/x
  3. Step 3: Cross multiply
    250,373,307x = 537,768,123 × 537,768,123
  4. Step 4: Simplify right side
    250,373,307x = 289,194,554,114,943,104
  5. Step 5: Solve for x
    x = 289,194,554,114,943,104/250,373,307
  6. Step 6: Final answer
    x = 1,155,053,458.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.