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Finding the Third Proportional to 198,334,764 and 428,538,492

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Solution

The third proportional to 198,334,764 and 428,538,492 is: 925,935,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,334,764 : 428,538,492 = 428,538,492 : x
  2. Step 2: Convert to fraction form
    198,334,764/428,538,492 = 428,538,492/x
  3. Step 3: Cross multiply
    198,334,764x = 428,538,492 × 428,538,492
  4. Step 4: Simplify right side
    198,334,764x = 183,645,239,125,634,048
  5. Step 5: Solve for x
    x = 183,645,239,125,634,048/198,334,764
  6. Step 6: Final answer
    x = 925,935,702.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.