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Finding the Third Proportional to 198,252,646 and 429,448,748

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Solution

The third proportional to 198,252,646 and 429,448,748 is: 930,258,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,646 : 429,448,748 = 429,448,748 : x
  2. Step 2: Convert to fraction form
    198,252,646/429,448,748 = 429,448,748/x
  3. Step 3: Cross multiply
    198,252,646x = 429,448,748 × 429,448,748
  4. Step 4: Simplify right side
    198,252,646x = 184,426,227,158,767,488
  5. Step 5: Solve for x
    x = 184,426,227,158,767,488/198,252,646
  6. Step 6: Final answer
    x = 930,258,591.15

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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.