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Finding the Third Proportional to 75,133,257,523.50 and 163,766,527,791

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Solution

The third proportional to 75,133,257,523.50 and 163,766,527,791 is: 356,958,775,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133,257,523.50 : 163,766,527,791 = 163,766,527,791 : x
  2. Step 2: Convert to fraction form
    75,133,257,523.50/163,766,527,791 = 163,766,527,791/x
  3. Step 3: Cross multiply
    75,133,257,523.50x = 163,766,527,791 × 163,766,527,791
  4. Step 4: Simplify right side
    75,133,257,523.50x = 26,819,475,624,720,374,693,888
  5. Step 5: Solve for x
    x = 26,819,475,624,720,374,693,888/75,133,257,523.50
  6. Step 6: Final answer
    x = 356,958,775,763.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.