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Finding the Third Proportional to 213,779,226 and 330,486,059

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Solution

The third proportional to 213,779,226 and 330,486,059 is: 510,905,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,779,226 : 330,486,059 = 330,486,059 : x
  2. Step 2: Convert to fraction form
    213,779,226/330,486,059 = 330,486,059/x
  3. Step 3: Cross multiply
    213,779,226x = 330,486,059 × 330,486,059
  4. Step 4: Simplify right side
    213,779,226x = 109,221,035,193,351,488
  5. Step 5: Solve for x
    x = 109,221,035,193,351,488/213,779,226
  6. Step 6: Final answer
    x = 510,905,747.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.