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Finding the Third Proportional to 138,718,581.75 and 301,857,219

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Solution

The third proportional to 138,718,581.75 and 301,857,219 is: 656,853,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718,581.75 : 301,857,219 = 301,857,219 : x
  2. Step 2: Convert to fraction form
    138,718,581.75/301,857,219 = 301,857,219/x
  3. Step 3: Cross multiply
    138,718,581.75x = 301,857,219 × 301,857,219
  4. Step 4: Simplify right side
    138,718,581.75x = 91,117,780,662,413,968
  5. Step 5: Solve for x
    x = 91,117,780,662,413,968/138,718,581.75
  6. Step 6: Final answer
    x = 656,853,461.97

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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.