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Finding the Third Proportional to 301,619,986.50 and 461,202,583.50

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Solution

The third proportional to 301,619,986.50 and 461,202,583.50 is: 705,217,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,619,986.50 : 461,202,583.50 = 461,202,583.50 : x
  2. Step 2: Convert to fraction form
    301,619,986.50/461,202,583.50 = 461,202,583.50/x
  3. Step 3: Cross multiply
    301,619,986.50x = 461,202,583.50 × 461,202,583.50
  4. Step 4: Simplify right side
    301,619,986.50x = 212,707,823,027,074,464
  5. Step 5: Solve for x
    x = 212,707,823,027,074,464/301,619,986.50
  6. Step 6: Final answer
    x = 705,217,931.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.