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Finding the Third Proportional to 136,312,744 and 293,410,736

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Solution

The third proportional to 136,312,744 and 293,410,736 is: 631,561,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,312,744 : 293,410,736 = 293,410,736 : x
  2. Step 2: Convert to fraction form
    136,312,744/293,410,736 = 293,410,736/x
  3. Step 3: Cross multiply
    136,312,744x = 293,410,736 × 293,410,736
  4. Step 4: Simplify right side
    136,312,744x = 86,089,860,000,061,696
  5. Step 5: Solve for x
    x = 86,089,860,000,061,696/136,312,744
  6. Step 6: Final answer
    x = 631,561,345.43

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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.