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Finding the Third Proportional to 75,107,056 and 158,284,142

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Solution

The third proportional to 75,107,056 and 158,284,142 is: 333,575,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107,056 : 158,284,142 = 158,284,142 : x
  2. Step 2: Convert to fraction form
    75,107,056/158,284,142 = 158,284,142/x
  3. Step 3: Cross multiply
    75,107,056x = 158,284,142 × 158,284,142
  4. Step 4: Simplify right side
    75,107,056x = 25,053,869,608,676,164
  5. Step 5: Solve for x
    x = 25,053,869,608,676,164/75,107,056
  6. Step 6: Final answer
    x = 333,575,444.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.