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Finding the Third Proportional to 158,707,816 and 245,138,219

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Solution

The third proportional to 158,707,816 and 245,138,219 is: 378,637,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,707,816 : 245,138,219 = 245,138,219 : x
  2. Step 2: Convert to fraction form
    158,707,816/245,138,219 = 245,138,219/x
  3. Step 3: Cross multiply
    158,707,816x = 245,138,219 × 245,138,219
  4. Step 4: Simplify right side
    158,707,816x = 60,092,746,414,491,960
  5. Step 5: Solve for x
    x = 60,092,746,414,491,960/158,707,816
  6. Step 6: Final answer
    x = 378,637,599.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.