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Finding the Third Proportional to 151,622,001 and 221,746,788

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Solution

The third proportional to 151,622,001 and 221,746,788 is: 324,304,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,622,001 : 221,746,788 = 221,746,788 : x
  2. Step 2: Convert to fraction form
    151,622,001/221,746,788 = 221,746,788/x
  3. Step 3: Cross multiply
    151,622,001x = 221,746,788 × 221,746,788
  4. Step 4: Simplify right side
    151,622,001x = 49,171,637,988,316,944
  5. Step 5: Solve for x
    x = 49,171,637,988,316,944/151,622,001
  6. Step 6: Final answer
    x = 324,304,109.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.