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Finding the Third Proportional to 153,185,296,421 and 335,227,344,810

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Solution

The third proportional to 153,185,296,421 and 335,227,344,810 is: 733,604,173,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,185,296,421 : 335,227,344,810 = 335,227,344,810 : x
  2. Step 2: Convert to fraction form
    153,185,296,421/335,227,344,810 = 335,227,344,810/x
  3. Step 3: Cross multiply
    153,185,296,421x = 335,227,344,810 × 335,227,344,810
  4. Step 4: Simplify right side
    153,185,296,421x = 112,377,372,708,362,635,968,512
  5. Step 5: Solve for x
    x = 112,377,372,708,362,635,968,512/153,185,296,421
  6. Step 6: Final answer
    x = 733,604,173,076.22

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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.