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Finding the Third Proportional to 153,185,296,419 and 335,227,344,806

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Solution

The third proportional to 153,185,296,419 and 335,227,344,806 is: 733,604,173,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,185,296,419 : 335,227,344,806 = 335,227,344,806 : x
  2. Step 2: Convert to fraction form
    153,185,296,419/335,227,344,806 = 335,227,344,806/x
  3. Step 3: Cross multiply
    153,185,296,419x = 335,227,344,806 × 335,227,344,806
  4. Step 4: Simplify right side
    153,185,296,419x = 112,377,372,705,680,814,768,128
  5. Step 5: Solve for x
    x = 112,377,372,705,680,814,768,128/153,185,296,419
  6. Step 6: Final answer
    x = 733,604,173,068.29

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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.