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Finding the Third Proportional to 229,892,820 and 501,923,592

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Solution

The third proportional to 229,892,820 and 501,923,592 is: 1,095,846,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892,820 : 501,923,592 = 501,923,592 : x
  2. Step 2: Convert to fraction form
    229,892,820/501,923,592 = 501,923,592/x
  3. Step 3: Cross multiply
    229,892,820x = 501,923,592 × 501,923,592
  4. Step 4: Simplify right side
    229,892,820x = 251,927,292,206,182,464
  5. Step 5: Solve for x
    x = 251,927,292,206,182,464/229,892,820
  6. Step 6: Final answer
    x = 1,095,846,717.64

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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.