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Finding the Third Proportional to 125,398,749 and 193,689,427.50

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Solution

The third proportional to 125,398,749 and 193,689,427.50 is: 299,170,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398,749 : 193,689,427.50 = 193,689,427.50 : x
  2. Step 2: Convert to fraction form
    125,398,749/193,689,427.50 = 193,689,427.50/x
  3. Step 3: Cross multiply
    125,398,749x = 193,689,427.50 × 193,689,427.50
  4. Step 4: Simplify right side
    125,398,749x = 37,515,594,325,277,760
  5. Step 5: Solve for x
    x = 37,515,594,325,277,760/125,398,749
  6. Step 6: Final answer
    x = 299,170,403.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.