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Finding the Third Proportional to 191,013,702 and 409,282,284

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Solution

The third proportional to 191,013,702 and 409,282,284 is: 876,963,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,013,702 : 409,282,284 = 409,282,284 : x
  2. Step 2: Convert to fraction form
    191,013,702/409,282,284 = 409,282,284/x
  3. Step 3: Cross multiply
    191,013,702x = 409,282,284 × 409,282,284
  4. Step 4: Simplify right side
    191,013,702x = 167,511,987,996,256,640
  5. Step 5: Solve for x
    x = 167,511,987,996,256,640/191,013,702
  6. Step 6: Final answer
    x = 876,963,203.38

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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.