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Finding the Third Proportional to 75,605,414 and 164,894,896

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Solution

The third proportional to 75,605,414 and 164,894,896 is: 359,634,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605,414 : 164,894,896 = 164,894,896 : x
  2. Step 2: Convert to fraction form
    75,605,414/164,894,896 = 164,894,896/x
  3. Step 3: Cross multiply
    75,605,414x = 164,894,896 × 164,894,896
  4. Step 4: Simplify right side
    75,605,414x = 27,190,326,726,850,816
  5. Step 5: Solve for x
    x = 27,190,326,726,850,816/75,605,414
  6. Step 6: Final answer
    x = 359,634,651.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.