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Finding the Third Proportional to 210,375,881,181 and 450,540,098,883

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Solution

The third proportional to 210,375,881,181 and 450,540,098,883 is: 964,874,773,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,375,881,181 : 450,540,098,883 = 450,540,098,883 : x
  2. Step 2: Convert to fraction form
    210,375,881,181/450,540,098,883 = 450,540,098,883/x
  3. Step 3: Cross multiply
    210,375,881,181x = 450,540,098,883 × 450,540,098,883
  4. Step 4: Simplify right side
    210,375,881,181x = 202,986,380,701,503,416,434,688
  5. Step 5: Solve for x
    x = 202,986,380,701,503,416,434,688/210,375,881,181
  6. Step 6: Final answer
    x = 964,874,773,486.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.