Home / 102,197,836.69-224,179,741.13

Finding the Third Proportional to 102,197,836.69 and 224,179,741.13

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Solution

The third proportional to 102,197,836.69 and 224,179,741.13 is: 491,757,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,836.69 : 224,179,741.13 = 224,179,741.13 : x
  2. Step 2: Convert to fraction form
    102,197,836.69/224,179,741.13 = 224,179,741.13/x
  3. Step 3: Cross multiply
    102,197,836.69x = 224,179,741.13 × 224,179,741.13
  4. Step 4: Simplify right side
    102,197,836.69x = 50,256,556,330,872,016
  5. Step 5: Solve for x
    x = 50,256,556,330,872,016/102,197,836.69
  6. Step 6: Final answer
    x = 491,757,535.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.