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Finding the Third Proportional to 135,814,322 and 294,191,320

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Solution

The third proportional to 135,814,322 and 294,191,320 is: 637,256,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814,322 : 294,191,320 = 294,191,320 : x
  2. Step 2: Convert to fraction form
    135,814,322/294,191,320 = 294,191,320/x
  3. Step 3: Cross multiply
    135,814,322x = 294,191,320 × 294,191,320
  4. Step 4: Simplify right side
    135,814,322x = 86,548,532,763,342,400
  5. Step 5: Solve for x
    x = 86,548,532,763,342,400/135,814,322
  6. Step 6: Final answer
    x = 637,256,303.23

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