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Finding the Third Proportional to 136,311,817 and 293,408,883

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Solution

The third proportional to 136,311,817 and 293,408,883 is: 631,557,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,817 : 293,408,883 = 293,408,883 : x
  2. Step 2: Convert to fraction form
    136,311,817/293,408,883 = 293,408,883/x
  3. Step 3: Cross multiply
    136,311,817x = 293,408,883 × 293,408,883
  4. Step 4: Simplify right side
    136,311,817x = 86,088,772,623,307,696
  5. Step 5: Solve for x
    x = 86,088,772,623,307,696/136,311,817
  6. Step 6: Final answer
    x = 631,557,663.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.