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Finding the Third Proportional to 202,468,365 and 302,375,787

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Solution

The third proportional to 202,468,365 and 302,375,787 is: 451,582,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468,365 : 302,375,787 = 302,375,787 : x
  2. Step 2: Convert to fraction form
    202,468,365/302,375,787 = 302,375,787/x
  3. Step 3: Cross multiply
    202,468,365x = 302,375,787 × 302,375,787
  4. Step 4: Simplify right side
    202,468,365x = 91,431,116,563,869,376
  5. Step 5: Solve for x
    x = 91,431,116,563,869,376/202,468,365
  6. Step 6: Final answer
    x = 451,582,233.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.