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Finding the Third Proportional to 97,502,937,453 and 137,305,621,651.50

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Solution

The third proportional to 97,502,937,453 and 137,305,621,651.50 is: 193,356,571,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502,937,453 : 137,305,621,651.50 = 137,305,621,651.50 : x
  2. Step 2: Convert to fraction form
    97,502,937,453/137,305,621,651.50 = 137,305,621,651.50/x
  3. Step 3: Cross multiply
    97,502,937,453x = 137,305,621,651.50 × 137,305,621,651.50
  4. Step 4: Simplify right side
    97,502,937,453x = 18,852,833,737,104,865,361,920
  5. Step 5: Solve for x
    x = 18,852,833,737,104,865,361,920/97,502,937,453
  6. Step 6: Final answer
    x = 193,356,571,910.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.