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Finding the Third Proportional to 198,252,593 and 429,448,641

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Solution

The third proportional to 198,252,593 and 429,448,641 is: 930,258,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,593 : 429,448,641 = 429,448,641 : x
  2. Step 2: Convert to fraction form
    198,252,593/429,448,641 = 429,448,641/x
  3. Step 3: Cross multiply
    198,252,593x = 429,448,641 × 429,448,641
  4. Step 4: Simplify right side
    198,252,593x = 184,426,135,256,746,880
  5. Step 5: Solve for x
    x = 184,426,135,256,746,880/198,252,593
  6. Step 6: Final answer
    x = 930,258,376.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.