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Finding the Third Proportional to 166,943,605.50 and 222,566,207.63

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Solution

The third proportional to 166,943,605.50 and 222,566,207.63 is: 296,721,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943,605.50 : 222,566,207.63 = 222,566,207.63 : x
  2. Step 2: Convert to fraction form
    166,943,605.50/222,566,207.63 = 222,566,207.63/x
  3. Step 3: Cross multiply
    166,943,605.50x = 222,566,207.63 × 222,566,207.63
  4. Step 4: Simplify right side
    166,943,605.50x = 49,535,716,776,574,608
  5. Step 5: Solve for x
    x = 49,535,716,776,574,608/166,943,605.50
  6. Step 6: Final answer
    x = 296,721,258.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.