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Finding the Third Proportional to 235,586,231 and 517,906,055

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Solution

The third proportional to 235,586,231 and 517,906,055 is: 1,138,549,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,586,231 : 517,906,055 = 517,906,055 : x
  2. Step 2: Convert to fraction form
    235,586,231/517,906,055 = 517,906,055/x
  3. Step 3: Cross multiply
    235,586,231x = 517,906,055 × 517,906,055
  4. Step 4: Simplify right side
    235,586,231x = 268,226,681,805,663,040
  5. Step 5: Solve for x
    x = 268,226,681,805,663,040/235,586,231
  6. Step 6: Final answer
    x = 1,138,549,908.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.