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Finding the Third Proportional to 89,673,973,190 and 197,626,358,069.50

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Solution

The third proportional to 89,673,973,190 and 197,626,358,069.50 is: 435,535,261,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,673,973,190 : 197,626,358,069.50 = 197,626,358,069.50 : x
  2. Step 2: Convert to fraction form
    89,673,973,190/197,626,358,069.50 = 197,626,358,069.50/x
  3. Step 3: Cross multiply
    89,673,973,190x = 197,626,358,069.50 × 197,626,358,069.50
  4. Step 4: Simplify right side
    89,673,973,190x = 39,056,177,403,814,226,165,760
  5. Step 5: Solve for x
    x = 39,056,177,403,814,226,165,760/89,673,973,190
  6. Step 6: Final answer
    x = 435,535,261,954.58

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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.