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Finding the Third Proportional to 123,059,138 and 193,036,323

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Solution

The third proportional to 123,059,138 and 193,036,323 is: 302,805,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059,138 : 193,036,323 = 193,036,323 : x
  2. Step 2: Convert to fraction form
    123,059,138/193,036,323 = 193,036,323/x
  3. Step 3: Cross multiply
    123,059,138x = 193,036,323 × 193,036,323
  4. Step 4: Simplify right side
    123,059,138x = 37,263,021,997,360,328
  5. Step 5: Solve for x
    x = 37,263,021,997,360,328/123,059,138
  6. Step 6: Final answer
    x = 302,805,810.30

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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.