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Finding the Third Proportional to 309,439,934 and 468,146,235

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Solution

The third proportional to 309,439,934 and 468,146,235 is: 708,250,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,439,934 : 468,146,235 = 468,146,235 : x
  2. Step 2: Convert to fraction form
    309,439,934/468,146,235 = 468,146,235/x
  3. Step 3: Cross multiply
    309,439,934x = 468,146,235 × 468,146,235
  4. Step 4: Simplify right side
    309,439,934x = 219,160,897,344,675,232
  5. Step 5: Solve for x
    x = 219,160,897,344,675,232/309,439,934
  6. Step 6: Final answer
    x = 708,250,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.