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Finding the Third Proportional to 279,889,249.50 and 607,354,219.13

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Solution

The third proportional to 279,889,249.50 and 607,354,219.13 is: 1,317,946,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,889,249.50 : 607,354,219.13 = 607,354,219.13 : x
  2. Step 2: Convert to fraction form
    279,889,249.50/607,354,219.13 = 607,354,219.13/x
  3. Step 3: Cross multiply
    279,889,249.50x = 607,354,219.13 × 607,354,219.13
  4. Step 4: Simplify right side
    279,889,249.50x = 368,879,147,488,938,496
  5. Step 5: Solve for x
    x = 368,879,147,488,938,496/279,889,249.50
  6. Step 6: Final answer
    x = 1,317,946,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.