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Finding the Third Proportional to 155,509,311 and 335,923,461

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Solution

The third proportional to 155,509,311 and 335,923,461 is: 725,645,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,509,311 : 335,923,461 = 335,923,461 : x
  2. Step 2: Convert to fraction form
    155,509,311/335,923,461 = 335,923,461/x
  3. Step 3: Cross multiply
    155,509,311x = 335,923,461 × 335,923,461
  4. Step 4: Simplify right side
    155,509,311x = 112,844,571,650,218,528
  5. Step 5: Solve for x
    x = 112,844,571,650,218,528/155,509,311
  6. Step 6: Final answer
    x = 725,645,113.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.