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Finding the Third Proportional to 201,357,734,750 and 436,230,297,834.50

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Solution

The third proportional to 201,357,734,750 and 436,230,297,834.50 is: 945,068,601,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,357,734,750 : 436,230,297,834.50 = 436,230,297,834.50 : x
  2. Step 2: Convert to fraction form
    201,357,734,750/436,230,297,834.50 = 436,230,297,834.50/x
  3. Step 3: Cross multiply
    201,357,734,750x = 436,230,297,834.50 × 436,230,297,834.50
  4. Step 4: Simplify right side
    201,357,734,750x = 190,296,872,748,776,570,224,640
  5. Step 5: Solve for x
    x = 190,296,872,748,776,570,224,640/201,357,734,750
  6. Step 6: Final answer
    x = 945,068,601,338.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.