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Finding the Third Proportional to 235,087,678 and 548,968,201

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Solution

The third proportional to 235,087,678 and 548,968,201 is: 1,281,930,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,087,678 : 548,968,201 = 548,968,201 : x
  2. Step 2: Convert to fraction form
    235,087,678/548,968,201 = 548,968,201/x
  3. Step 3: Cross multiply
    235,087,678x = 548,968,201 × 548,968,201
  4. Step 4: Simplify right side
    235,087,678x = 301,366,085,709,176,384
  5. Step 5: Solve for x
    x = 301,366,085,709,176,384/235,087,678
  6. Step 6: Final answer
    x = 1,281,930,589.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.