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Finding the Third Proportional to 199,747,932 and 437,680,884

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Solution

The third proportional to 199,747,932 and 437,680,884 is: 959,031,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,747,932 : 437,680,884 = 437,680,884 : x
  2. Step 2: Convert to fraction form
    199,747,932/437,680,884 = 437,680,884/x
  3. Step 3: Cross multiply
    199,747,932x = 437,680,884 × 437,680,884
  4. Step 4: Simplify right side
    199,747,932x = 191,564,556,219,021,440
  5. Step 5: Solve for x
    x = 191,564,556,219,021,440/199,747,932
  6. Step 6: Final answer
    x = 959,031,486.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.