Home / 201,030,722,858.05-430,741,117,564.40

Finding the Third Proportional to 201,030,722,858.05 and 430,741,117,564.40

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Solution

The third proportional to 201,030,722,858.05 and 430,741,117,564.40 is: 922,933,110,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,030,722,858.05 : 430,741,117,564.40 = 430,741,117,564.40 : x
  2. Step 2: Convert to fraction form
    201,030,722,858.05/430,741,117,564.40 = 430,741,117,564.40/x
  3. Step 3: Cross multiply
    201,030,722,858.05x = 430,741,117,564.40 × 430,741,117,564.40
  4. Step 4: Simplify right side
    201,030,722,858.05x = 185,537,910,360,628,271,251,456
  5. Step 5: Solve for x
    x = 185,537,910,360,628,271,251,456/201,030,722,858.05
  6. Step 6: Final answer
    x = 922,933,110,535.74

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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.