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Finding the Third Proportional to 229,683,424 and 504,007,792

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Solution

The third proportional to 229,683,424 and 504,007,792 is: 1,105,973,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,683,424 : 504,007,792 = 504,007,792 : x
  2. Step 2: Convert to fraction form
    229,683,424/504,007,792 = 504,007,792/x
  3. Step 3: Cross multiply
    229,683,424x = 504,007,792 × 504,007,792
  4. Step 4: Simplify right side
    229,683,424x = 254,023,854,396,715,264
  5. Step 5: Solve for x
    x = 254,023,854,396,715,264/229,683,424
  6. Step 6: Final answer
    x = 1,105,973,822.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.