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Finding the Third Proportional to 205,393,136 and 319,059,056

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Solution

The third proportional to 205,393,136 and 319,059,056 is: 495,628,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,393,136 : 319,059,056 = 319,059,056 : x
  2. Step 2: Convert to fraction form
    205,393,136/319,059,056 = 319,059,056/x
  3. Step 3: Cross multiply
    205,393,136x = 319,059,056 × 319,059,056
  4. Step 4: Simplify right side
    205,393,136x = 101,798,681,215,611,136
  5. Step 5: Solve for x
    x = 101,798,681,215,611,136/205,393,136
  6. Step 6: Final answer
    x = 495,628,447.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.