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Finding the Third Proportional to 198,354,834 and 463,191,012

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Solution

The third proportional to 198,354,834 and 463,191,012 is: 1,081,626,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,354,834 : 463,191,012 = 463,191,012 : x
  2. Step 2: Convert to fraction form
    198,354,834/463,191,012 = 463,191,012/x
  3. Step 3: Cross multiply
    198,354,834x = 463,191,012 × 463,191,012
  4. Step 4: Simplify right side
    198,354,834x = 214,545,913,597,584,128
  5. Step 5: Solve for x
    x = 214,545,913,597,584,128/198,354,834
  6. Step 6: Final answer
    x = 1,081,626,846.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.