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Finding the Third Proportional to 213,587,284 and 320,949,607

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Solution

The third proportional to 213,587,284 and 320,949,607 is: 482,278,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,587,284 : 320,949,607 = 320,949,607 : x
  2. Step 2: Convert to fraction form
    213,587,284/320,949,607 = 320,949,607/x
  3. Step 3: Cross multiply
    213,587,284x = 320,949,607 × 320,949,607
  4. Step 4: Simplify right side
    213,587,284x = 103,008,650,233,454,448
  5. Step 5: Solve for x
    x = 103,008,650,233,454,448/213,587,284
  6. Step 6: Final answer
    x = 482,278,946.13

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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.