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Finding the Third Proportional to 248,513,184 and 388,994,400

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Solution

The third proportional to 248,513,184 and 388,994,400 is: 608,887,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,513,184 : 388,994,400 = 388,994,400 : x
  2. Step 2: Convert to fraction form
    248,513,184/388,994,400 = 388,994,400/x
  3. Step 3: Cross multiply
    248,513,184x = 388,994,400 × 388,994,400
  4. Step 4: Simplify right side
    248,513,184x = 151,316,643,231,360,000
  5. Step 5: Solve for x
    x = 151,316,643,231,360,000/248,513,184
  6. Step 6: Final answer
    x = 608,887,789.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.