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Finding the Third Proportional to 227,519,721 and 343,670,647.50

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Solution

The third proportional to 227,519,721 and 343,670,647.50 is: 519,117,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519,721 : 343,670,647.50 = 343,670,647.50 : x
  2. Step 2: Convert to fraction form
    227,519,721/343,670,647.50 = 343,670,647.50/x
  3. Step 3: Cross multiply
    227,519,721x = 343,670,647.50 × 343,670,647.50
  4. Step 4: Simplify right side
    227,519,721x = 118,109,513,953,069,264
  5. Step 5: Solve for x
    x = 118,109,513,953,069,264/227,519,721
  6. Step 6: Final answer
    x = 519,117,698.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.