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Finding the Third Proportional to 151,809,193.50 and 233,238,042

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Solution

The third proportional to 151,809,193.50 and 233,238,042 is: 358,344,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809,193.50 : 233,238,042 = 233,238,042 : x
  2. Step 2: Convert to fraction form
    151,809,193.50/233,238,042 = 233,238,042/x
  3. Step 3: Cross multiply
    151,809,193.50x = 233,238,042 × 233,238,042
  4. Step 4: Simplify right side
    151,809,193.50x = 54,399,984,235,993,760
  5. Step 5: Solve for x
    x = 54,399,984,235,993,760/151,809,193.50
  6. Step 6: Final answer
    x = 358,344,465.06

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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.