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Finding the Third Proportional to 101,938,837,340 and 141,737,805,144

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Solution

The third proportional to 101,938,837,340 and 141,737,805,144 is: 197,075,088,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938,837,340 : 141,737,805,144 = 141,737,805,144 : x
  2. Step 2: Convert to fraction form
    101,938,837,340/141,737,805,144 = 141,737,805,144/x
  3. Step 3: Cross multiply
    101,938,837,340x = 141,737,805,144 × 141,737,805,144
  4. Step 4: Simplify right side
    101,938,837,340x = 20,089,605,407,038,511,251,456
  5. Step 5: Solve for x
    x = 20,089,605,407,038,511,251,456/101,938,837,340
  6. Step 6: Final answer
    x = 197,075,088,663.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.