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Finding the Third Proportional to 151,809,199.50 and 233,238,051

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Solution

The third proportional to 151,809,199.50 and 233,238,051 is: 358,344,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809,199.50 : 233,238,051 = 233,238,051 : x
  2. Step 2: Convert to fraction form
    151,809,199.50/233,238,051 = 233,238,051/x
  3. Step 3: Cross multiply
    151,809,199.50x = 233,238,051 × 233,238,051
  4. Step 4: Simplify right side
    151,809,199.50x = 54,399,988,434,278,600
  5. Step 5: Solve for x
    x = 54,399,988,434,278,600/151,809,199.50
  6. Step 6: Final answer
    x = 358,344,478.55

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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.