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Finding the Third Proportional to 199,050,737,710 and 438,674,355,175

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Solution

The third proportional to 199,050,737,710 and 438,674,355,175 is: 966,764,514,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,737,710 : 438,674,355,175 = 438,674,355,175 : x
  2. Step 2: Convert to fraction form
    199,050,737,710/438,674,355,175 = 438,674,355,175/x
  3. Step 3: Cross multiply
    199,050,737,710x = 438,674,355,175 × 438,674,355,175
  4. Step 4: Simplify right side
    199,050,737,710x = 192,435,189,888,202,064,265,216
  5. Step 5: Solve for x
    x = 192,435,189,888,202,064,265,216/199,050,737,710
  6. Step 6: Final answer
    x = 966,764,514,927.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.