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Finding the Third Proportional to 202,215,022 and 435,578,388

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Solution

The third proportional to 202,215,022 and 435,578,388 is: 938,251,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215,022 : 435,578,388 = 435,578,388 : x
  2. Step 2: Convert to fraction form
    202,215,022/435,578,388 = 435,578,388/x
  3. Step 3: Cross multiply
    202,215,022x = 435,578,388 × 435,578,388
  4. Step 4: Simplify right side
    202,215,022x = 189,728,532,092,678,528
  5. Step 5: Solve for x
    x = 189,728,532,092,678,528/202,215,022
  6. Step 6: Final answer
    x = 938,251,422.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.