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Finding the Third Proportional to 285,161,404 and 611,249,228

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Solution

The third proportional to 285,161,404 and 611,249,228 is: 1,310,225,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,404 : 611,249,228 = 611,249,228 : x
  2. Step 2: Convert to fraction form
    285,161,404/611,249,228 = 611,249,228/x
  3. Step 3: Cross multiply
    285,161,404x = 611,249,228 × 611,249,228
  4. Step 4: Simplify right side
    285,161,404x = 373,625,618,730,595,968
  5. Step 5: Solve for x
    x = 373,625,618,730,595,968/285,161,404
  6. Step 6: Final answer
    x = 1,310,225,063.73

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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.