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Finding the Third Proportional to 102,143,992 and 143,328,260

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Solution

The third proportional to 102,143,992 and 143,328,260 is: 201,117,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143,992 : 143,328,260 = 143,328,260 : x
  2. Step 2: Convert to fraction form
    102,143,992/143,328,260 = 143,328,260/x
  3. Step 3: Cross multiply
    102,143,992x = 143,328,260 × 143,328,260
  4. Step 4: Simplify right side
    102,143,992x = 20,542,990,114,627,600
  5. Step 5: Solve for x
    x = 20,542,990,114,627,600/102,143,992
  6. Step 6: Final answer
    x = 201,117,948.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.