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Finding the Third Proportional to 205,897,392 and 428,731,056

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Solution

The third proportional to 205,897,392 and 428,731,056 is: 892,727,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,897,392 : 428,731,056 = 428,731,056 : x
  2. Step 2: Convert to fraction form
    205,897,392/428,731,056 = 428,731,056/x
  3. Step 3: Cross multiply
    205,897,392x = 428,731,056 × 428,731,056
  4. Step 4: Simplify right side
    205,897,392x = 183,810,318,378,875,136
  5. Step 5: Solve for x
    x = 183,810,318,378,875,136/205,897,392
  6. Step 6: Final answer
    x = 892,727,764.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.