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Finding the Third Proportional to 71,168,716 and 155,387,264

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Solution

The third proportional to 71,168,716 and 155,387,264 is: 339,267,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168,716 : 155,387,264 = 155,387,264 : x
  2. Step 2: Convert to fraction form
    71,168,716/155,387,264 = 155,387,264/x
  3. Step 3: Cross multiply
    71,168,716x = 155,387,264 × 155,387,264
  4. Step 4: Simplify right side
    71,168,716x = 24,145,201,813,405,696
  5. Step 5: Solve for x
    x = 24,145,201,813,405,696/71,168,716
  6. Step 6: Final answer
    x = 339,267,070.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.