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Finding the Third Proportional to 201,868,237.97 and 302,465,593.13

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Solution

The third proportional to 201,868,237.97 and 302,465,593.13 is: 453,193,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,868,237.97 : 302,465,593.13 = 302,465,593.13 : x
  2. Step 2: Convert to fraction form
    201,868,237.97/302,465,593.13 = 302,465,593.13/x
  3. Step 3: Cross multiply
    201,868,237.97x = 302,465,593.13 × 302,465,593.13
  4. Step 4: Simplify right side
    201,868,237.97x = 91,485,435,024,458,048
  5. Step 5: Solve for x
    x = 91,485,435,024,458,048/201,868,237.97
  6. Step 6: Final answer
    x = 453,193,805.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.