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Finding the Third Proportional to 143,278,419.38 and 306,990,322.88

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Solution

The third proportional to 143,278,419.38 and 306,990,322.88 is: 657,761,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,278,419.38 : 306,990,322.88 = 306,990,322.88 : x
  2. Step 2: Convert to fraction form
    143,278,419.38/306,990,322.88 = 306,990,322.88/x
  3. Step 3: Cross multiply
    143,278,419.38x = 306,990,322.88 × 306,990,322.88
  4. Step 4: Simplify right side
    143,278,419.38x = 94,243,058,338,896,752
  5. Step 5: Solve for x
    x = 94,243,058,338,896,752/143,278,419.38
  6. Step 6: Final answer
    x = 657,761,711.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.