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Finding the Third Proportional to 202,053,074 and 436,438,746

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Solution

The third proportional to 202,053,074 and 436,438,746 is: 942,716,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,074 : 436,438,746 = 436,438,746 : x
  2. Step 2: Convert to fraction form
    202,053,074/436,438,746 = 436,438,746/x
  3. Step 3: Cross multiply
    202,053,074x = 436,438,746 × 436,438,746
  4. Step 4: Simplify right side
    202,053,074x = 190,478,779,010,052,512
  5. Step 5: Solve for x
    x = 190,478,779,010,052,512/202,053,074
  6. Step 6: Final answer
    x = 942,716,560.75

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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.