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Finding the Third Proportional to 123,059,140 and 193,036,326

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Solution

The third proportional to 123,059,140 and 193,036,326 is: 302,805,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059,140 : 193,036,326 = 193,036,326 : x
  2. Step 2: Convert to fraction form
    123,059,140/193,036,326 = 193,036,326/x
  3. Step 3: Cross multiply
    123,059,140x = 193,036,326 × 193,036,326
  4. Step 4: Simplify right side
    123,059,140x = 37,263,023,155,578,272
  5. Step 5: Solve for x
    x = 37,263,023,155,578,272/123,059,140
  6. Step 6: Final answer
    x = 302,805,814.79

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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.