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Finding the Third Proportional to 206,835,724 and 307,323,348

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Solution

The third proportional to 206,835,724 and 307,323,348 is: 456,631,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835,724 : 307,323,348 = 307,323,348 : x
  2. Step 2: Convert to fraction form
    206,835,724/307,323,348 = 307,323,348/x
  3. Step 3: Cross multiply
    206,835,724x = 307,323,348 × 307,323,348
  4. Step 4: Simplify right side
    206,835,724x = 94,447,640,225,929,104
  5. Step 5: Solve for x
    x = 94,447,640,225,929,104/206,835,724
  6. Step 6: Final answer
    x = 456,631,177.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.