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Finding the Third Proportional to 165,143,137.50 and 247,698,679.50

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Solution

The third proportional to 165,143,137.50 and 247,698,679.50 is: 371,523,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143,137.50 : 247,698,679.50 = 247,698,679.50 : x
  2. Step 2: Convert to fraction form
    165,143,137.50/247,698,679.50 = 247,698,679.50/x
  3. Step 3: Cross multiply
    165,143,137.50x = 247,698,679.50 × 247,698,679.50
  4. Step 4: Simplify right side
    165,143,137.50x = 61,354,635,826,043,720
  5. Step 5: Solve for x
    x = 61,354,635,826,043,720/165,143,137.50
  6. Step 6: Final answer
    x = 371,523,980.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.