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Finding the Third Proportional to 151,809,205 and 233,238,059

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Solution

The third proportional to 151,809,205 and 233,238,059 is: 358,344,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809,205 : 233,238,059 = 233,238,059 : x
  2. Step 2: Convert to fraction form
    151,809,205/233,238,059 = 233,238,059/x
  3. Step 3: Cross multiply
    151,809,205x = 233,238,059 × 233,238,059
  4. Step 4: Simplify right side
    151,809,205x = 54,399,992,166,087,480
  5. Step 5: Solve for x
    x = 54,399,992,166,087,480/151,809,205
  6. Step 6: Final answer
    x = 358,344,490.15

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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.