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Finding the Third Proportional to 101,938,837,104 and 141,737,804,736

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Solution

The third proportional to 101,938,837,104 and 141,737,804,736 is: 197,075,087,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938,837,104 : 141,737,804,736 = 141,737,804,736 : x
  2. Step 2: Convert to fraction form
    101,938,837,104/141,737,804,736 = 141,737,804,736/x
  3. Step 3: Cross multiply
    101,938,837,104x = 141,737,804,736 × 141,737,804,736
  4. Step 4: Simplify right side
    101,938,837,104x = 20,089,605,291,380,465,205,248
  5. Step 5: Solve for x
    x = 20,089,605,291,380,465,205,248/101,938,837,104
  6. Step 6: Final answer
    x = 197,075,087,985.21

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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.