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Finding the Third Proportional to 202,053,073 and 436,438,745

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Solution

The third proportional to 202,053,073 and 436,438,745 is: 942,716,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,073 : 436,438,745 = 436,438,745 : x
  2. Step 2: Convert to fraction form
    202,053,073/436,438,745 = 436,438,745/x
  3. Step 3: Cross multiply
    202,053,073x = 436,438,745 × 436,438,745
  4. Step 4: Simplify right side
    202,053,073x = 190,478,778,137,175,040
  5. Step 5: Solve for x
    x = 190,478,778,137,175,040/202,053,073
  6. Step 6: Final answer
    x = 942,716,561.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.