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Finding the Third Proportional to 207,390,980.25 and 444,363,414.75

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Solution

The third proportional to 207,390,980.25 and 444,363,414.75 is: 952,109,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,390,980.25 : 444,363,414.75 = 444,363,414.75 : x
  2. Step 2: Convert to fraction form
    207,390,980.25/444,363,414.75 = 444,363,414.75/x
  3. Step 3: Cross multiply
    207,390,980.25x = 444,363,414.75 × 444,363,414.75
  4. Step 4: Simplify right side
    207,390,980.25x = 197,458,844,368,280,512
  5. Step 5: Solve for x
    x = 197,458,844,368,280,512/207,390,980.25
  6. Step 6: Final answer
    x = 952,109,123.21

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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.