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Finding the Third Proportional to 206,835,728 and 307,323,354

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Solution

The third proportional to 206,835,728 and 307,323,354 is: 456,631,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835,728 : 307,323,354 = 307,323,354 : x
  2. Step 2: Convert to fraction form
    206,835,728/307,323,354 = 307,323,354/x
  3. Step 3: Cross multiply
    206,835,728x = 307,323,354 × 307,323,354
  4. Step 4: Simplify right side
    206,835,728x = 94,447,643,913,809,312
  5. Step 5: Solve for x
    x = 94,447,643,913,809,312/206,835,728
  6. Step 6: Final answer
    x = 456,631,186.63

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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.