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Finding the Third Proportional to 136,311,824 and 293,408,896

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Solution

The third proportional to 136,311,824 and 293,408,896 is: 631,557,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,824 : 293,408,896 = 293,408,896 : x
  2. Step 2: Convert to fraction form
    136,311,824/293,408,896 = 293,408,896/x
  3. Step 3: Cross multiply
    136,311,824x = 293,408,896 × 293,408,896
  4. Step 4: Simplify right side
    136,311,824x = 86,088,780,251,938,816
  5. Step 5: Solve for x
    x = 86,088,780,251,938,816/136,311,824
  6. Step 6: Final answer
    x = 631,557,686.82

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