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Finding the Third Proportional to 209,885,646 and 461,092,956

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Solution

The third proportional to 209,885,646 and 461,092,956 is: 1,012,964,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885,646 : 461,092,956 = 461,092,956 : x
  2. Step 2: Convert to fraction form
    209,885,646/461,092,956 = 461,092,956/x
  3. Step 3: Cross multiply
    209,885,646x = 461,092,956 × 461,092,956
  4. Step 4: Simplify right side
    209,885,646x = 212,606,714,072,817,920
  5. Step 5: Solve for x
    x = 212,606,714,072,817,920/209,885,646
  6. Step 6: Final answer
    x = 1,012,964,526.75

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