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Finding the Third Proportional to 111,168,132.75 and 241,473,465

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Solution

The third proportional to 111,168,132.75 and 241,473,465 is: 524,515,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168,132.75 : 241,473,465 = 241,473,465 : x
  2. Step 2: Convert to fraction form
    111,168,132.75/241,473,465 = 241,473,465/x
  3. Step 3: Cross multiply
    111,168,132.75x = 241,473,465 × 241,473,465
  4. Step 4: Simplify right side
    111,168,132.75x = 58,309,434,299,106,224
  5. Step 5: Solve for x
    x = 58,309,434,299,106,224/111,168,132.75
  6. Step 6: Final answer
    x = 524,515,729.97

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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.