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Finding the Third Proportional to 285,161,405 and 611,249,230

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Solution

The third proportional to 285,161,405 and 611,249,230 is: 1,310,225,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,405 : 611,249,230 = 611,249,230 : x
  2. Step 2: Convert to fraction form
    285,161,405/611,249,230 = 611,249,230/x
  3. Step 3: Cross multiply
    285,161,405x = 611,249,230 × 611,249,230
  4. Step 4: Simplify right side
    285,161,405x = 373,625,621,175,592,896
  5. Step 5: Solve for x
    x = 373,625,621,175,592,896/285,161,405
  6. Step 6: Final answer
    x = 1,310,225,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.