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Finding the Third Proportional to 111,465,654 and 172,168,569

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Solution

The third proportional to 111,465,654 and 172,168,569 is: 265,929,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,465,654 : 172,168,569 = 172,168,569 : x
  2. Step 2: Convert to fraction form
    111,465,654/172,168,569 = 172,168,569/x
  3. Step 3: Cross multiply
    111,465,654x = 172,168,569 × 172,168,569
  4. Step 4: Simplify right side
    111,465,654x = 29,642,016,151,507,760
  5. Step 5: Solve for x
    x = 29,642,016,151,507,760/111,465,654
  6. Step 6: Final answer
    x = 265,929,594.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.