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Finding the Third Proportional to 123,059,136 and 193,036,320

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Solution

The third proportional to 123,059,136 and 193,036,320 is: 302,805,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059,136 : 193,036,320 = 193,036,320 : x
  2. Step 2: Convert to fraction form
    123,059,136/193,036,320 = 193,036,320/x
  3. Step 3: Cross multiply
    123,059,136x = 193,036,320 × 193,036,320
  4. Step 4: Simplify right side
    123,059,136x = 37,263,020,839,142,400
  5. Step 5: Solve for x
    x = 37,263,020,839,142,400/123,059,136
  6. Step 6: Final answer
    x = 302,805,805.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.