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Finding the Third Proportional to 219,654,838 and 481,510,028

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Solution

The third proportional to 219,654,838 and 481,510,028 is: 1,055,528,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,654,838 : 481,510,028 = 481,510,028 : x
  2. Step 2: Convert to fraction form
    219,654,838/481,510,028 = 481,510,028/x
  3. Step 3: Cross multiply
    219,654,838x = 481,510,028 × 481,510,028
  4. Step 4: Simplify right side
    219,654,838x = 231,851,907,064,560,768
  5. Step 5: Solve for x
    x = 231,851,907,064,560,768/219,654,838
  6. Step 6: Final answer
    x = 1,055,528,342.45

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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.