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Finding the Third Proportional to 138,544,161.75 and 299,054,551.50

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Solution

The third proportional to 138,544,161.75 and 299,054,551.50 is: 645,524,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544,161.75 : 299,054,551.50 = 299,054,551.50 : x
  2. Step 2: Convert to fraction form
    138,544,161.75/299,054,551.50 = 299,054,551.50/x
  3. Step 3: Cross multiply
    138,544,161.75x = 299,054,551.50 × 299,054,551.50
  4. Step 4: Simplify right side
    138,544,161.75x = 89,433,624,772,866,160
  5. Step 5: Solve for x
    x = 89,433,624,772,866,160/138,544,161.75
  6. Step 6: Final answer
    x = 645,524,312.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.