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Finding the Third Proportional to 269,031,096 and 559,533,609

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Solution

The third proportional to 269,031,096 and 559,533,609 is: 1,163,723,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,031,096 : 559,533,609 = 559,533,609 : x
  2. Step 2: Convert to fraction form
    269,031,096/559,533,609 = 559,533,609/x
  3. Step 3: Cross multiply
    269,031,096x = 559,533,609 × 559,533,609
  4. Step 4: Simplify right side
    269,031,096x = 313,077,859,600,564,864
  5. Step 5: Solve for x
    x = 313,077,859,600,564,864/269,031,096
  6. Step 6: Final answer
    x = 1,163,723,689.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.