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Finding the Third Proportional to 246,836,293 and 514,103,076

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Solution

The third proportional to 246,836,293 and 514,103,076 is: 1,070,758,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,836,293 : 514,103,076 = 514,103,076 : x
  2. Step 2: Convert to fraction form
    246,836,293/514,103,076 = 514,103,076/x
  3. Step 3: Cross multiply
    246,836,293x = 514,103,076 × 514,103,076
  4. Step 4: Simplify right side
    246,836,293x = 264,301,972,752,661,760
  5. Step 5: Solve for x
    x = 264,301,972,752,661,760/246,836,293
  6. Step 6: Final answer
    x = 1,070,758,151.24

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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.