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Finding the Third Proportional to 153,185,296,430 and 335,227,344,826

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Solution

The third proportional to 153,185,296,430 and 335,227,344,826 is: 733,604,173,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,185,296,430 : 335,227,344,826 = 335,227,344,826 : x
  2. Step 2: Convert to fraction form
    153,185,296,430/335,227,344,826 = 335,227,344,826/x
  3. Step 3: Cross multiply
    153,185,296,430x = 335,227,344,826 × 335,227,344,826
  4. Step 4: Simplify right side
    153,185,296,430x = 112,377,372,719,089,903,992,832
  5. Step 5: Solve for x
    x = 112,377,372,719,089,903,992,832/153,185,296,430
  6. Step 6: Final answer
    x = 733,604,173,103.14

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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.