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Finding the Third Proportional to 152,989,815,271.50 and 327,471,063,212.25

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Solution

The third proportional to 152,989,815,271.50 and 327,471,063,212.25 is: 700,944,027,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,989,815,271.50 : 327,471,063,212.25 = 327,471,063,212.25 : x
  2. Step 2: Convert to fraction form
    152,989,815,271.50/327,471,063,212.25 = 327,471,063,212.25/x
  3. Step 3: Cross multiply
    152,989,815,271.50x = 327,471,063,212.25 × 327,471,063,212.25
  4. Step 4: Simplify right side
    152,989,815,271.50x = 107,237,297,241,361,429,299,200
  5. Step 5: Solve for x
    x = 107,237,297,241,361,429,299,200/152,989,815,271.50
  6. Step 6: Final answer
    x = 700,944,027,228.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.