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Finding the Third Proportional to 148,249,794,020.62 and 208,768,378,274.85

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Solution

The third proportional to 148,249,794,020.62 and 208,768,378,274.85 is: 293,991,880,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,249,794,020.62 : 208,768,378,274.85 = 208,768,378,274.85 : x
  2. Step 2: Convert to fraction form
    148,249,794,020.62/208,768,378,274.85 = 208,768,378,274.85/x
  3. Step 3: Cross multiply
    148,249,794,020.62x = 208,768,378,274.85 × 208,768,378,274.85
  4. Step 4: Simplify right side
    148,249,794,020.62x = 43,584,235,767,510,861,873,152
  5. Step 5: Solve for x
    x = 43,584,235,767,510,861,873,152/148,249,794,020.62
  6. Step 6: Final answer
    x = 293,991,880,767.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.