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Finding the Third Proportional to 238,943,438 and 519,937,055

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Solution

The third proportional to 238,943,438 and 519,937,055 is: 1,131,374,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,943,438 : 519,937,055 = 519,937,055 : x
  2. Step 2: Convert to fraction form
    238,943,438/519,937,055 = 519,937,055/x
  3. Step 3: Cross multiply
    238,943,438x = 519,937,055 × 519,937,055
  4. Step 4: Simplify right side
    238,943,438x = 270,334,541,162,073,024
  5. Step 5: Solve for x
    x = 270,334,541,162,073,024/238,943,438
  6. Step 6: Final answer
    x = 1,131,374,619.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.