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Finding the Third Proportional to 151,028,394.75 and 233,009,325

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Solution

The third proportional to 151,028,394.75 and 233,009,325 is: 359,490,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,028,394.75 : 233,009,325 = 233,009,325 : x
  2. Step 2: Convert to fraction form
    151,028,394.75/233,009,325 = 233,009,325/x
  3. Step 3: Cross multiply
    151,028,394.75x = 233,009,325 × 233,009,325
  4. Step 4: Simplify right side
    151,028,394.75x = 54,293,345,536,955,624
  5. Step 5: Solve for x
    x = 54,293,345,536,955,624/151,028,394.75
  6. Step 6: Final answer
    x = 359,490,979.34

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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.