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Finding the Third Proportional to 208,427,310 and 306,578,412

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Solution

The third proportional to 208,427,310 and 306,578,412 is: 450,950,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,427,310 : 306,578,412 = 306,578,412 : x
  2. Step 2: Convert to fraction form
    208,427,310/306,578,412 = 306,578,412/x
  3. Step 3: Cross multiply
    208,427,310x = 306,578,412 × 306,578,412
  4. Step 4: Simplify right side
    208,427,310x = 93,990,322,704,441,744
  5. Step 5: Solve for x
    x = 93,990,322,704,441,744/208,427,310
  6. Step 6: Final answer
    x = 450,950,130.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.