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Finding the Third Proportional to 209,267,656 and 450,517,792

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Solution

The third proportional to 209,267,656 and 450,517,792 is: 969,888,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,267,656 : 450,517,792 = 450,517,792 : x
  2. Step 2: Convert to fraction form
    209,267,656/450,517,792 = 450,517,792/x
  3. Step 3: Cross multiply
    209,267,656x = 450,517,792 × 450,517,792
  4. Step 4: Simplify right side
    209,267,656x = 202,966,280,908,555,264
  5. Step 5: Solve for x
    x = 202,966,280,908,555,264/209,267,656
  6. Step 6: Final answer
    x = 969,888,442.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.