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Finding the Third Proportional to 218,201,464 and 326,983,010

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Solution

The third proportional to 218,201,464 and 326,983,010 is: 489,996,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,201,464 : 326,983,010 = 326,983,010 : x
  2. Step 2: Convert to fraction form
    218,201,464/326,983,010 = 326,983,010/x
  3. Step 3: Cross multiply
    218,201,464x = 326,983,010 × 326,983,010
  4. Step 4: Simplify right side
    218,201,464x = 106,917,888,828,660,096
  5. Step 5: Solve for x
    x = 106,917,888,828,660,096/218,201,464
  6. Step 6: Final answer
    x = 489,996,202.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.