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Finding the Third Proportional to 200,593,512 and 436,798,300.22

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Solution

The third proportional to 200,593,512 and 436,798,300.22 is: 951,141,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,512 : 436,798,300.22 = 436,798,300.22 : x
  2. Step 2: Convert to fraction form
    200,593,512/436,798,300.22 = 436,798,300.22/x
  3. Step 3: Cross multiply
    200,593,512x = 436,798,300.22 × 436,798,300.22
  4. Step 4: Simplify right side
    200,593,512x = 190,792,755,073,989,248
  5. Step 5: Solve for x
    x = 190,792,755,073,989,248/200,593,512
  6. Step 6: Final answer
    x = 951,141,206.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.