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Finding the Third Proportional to 89,673,973,187.06 and 197,626,358,064

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Solution

The third proportional to 89,673,973,187.06 and 197,626,358,064 is: 435,535,261,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,673,973,187.06 : 197,626,358,064 = 197,626,358,064 : x
  2. Step 2: Convert to fraction form
    89,673,973,187.06/197,626,358,064 = 197,626,358,064/x
  3. Step 3: Cross multiply
    89,673,973,187.06x = 197,626,358,064 × 197,626,358,064
  4. Step 4: Simplify right side
    89,673,973,187.06x = 39,056,177,401,640,335,179,776
  5. Step 5: Solve for x
    x = 39,056,177,401,640,335,179,776/89,673,973,187.06
  6. Step 6: Final answer
    x = 435,535,261,944.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.