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Finding the Third Proportional to 157,298,162 and 240,737,259

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Solution

The third proportional to 157,298,162 and 240,737,259 is: 368,436,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298,162 : 240,737,259 = 240,737,259 : x
  2. Step 2: Convert to fraction form
    157,298,162/240,737,259 = 240,737,259/x
  3. Step 3: Cross multiply
    157,298,162x = 240,737,259 × 240,737,259
  4. Step 4: Simplify right side
    157,298,162x = 57,954,427,870,833,080
  5. Step 5: Solve for x
    x = 57,954,427,870,833,080/157,298,162
  6. Step 6: Final answer
    x = 368,436,777.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.