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Finding the Third Proportional to 202,194,128 and 436,606,896

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Solution

The third proportional to 202,194,128 and 436,606,896 is: 942,784,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194,128 : 436,606,896 = 436,606,896 : x
  2. Step 2: Convert to fraction form
    202,194,128/436,606,896 = 436,606,896/x
  3. Step 3: Cross multiply
    202,194,128x = 436,606,896 × 436,606,896
  4. Step 4: Simplify right side
    202,194,128x = 190,625,581,634,754,816
  5. Step 5: Solve for x
    x = 190,625,581,634,754,816/202,194,128
  6. Step 6: Final answer
    x = 942,784,953.85

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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.