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Finding the Third Proportional to 50,864,010 and 109,000,596

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Solution

The third proportional to 50,864,010 and 109,000,596 is: 233,586,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864,010 : 109,000,596 = 109,000,596 : x
  2. Step 2: Convert to fraction form
    50,864,010/109,000,596 = 109,000,596/x
  3. Step 3: Cross multiply
    50,864,010x = 109,000,596 × 109,000,596
  4. Step 4: Simplify right side
    50,864,010x = 11,881,129,928,355,216
  5. Step 5: Solve for x
    x = 11,881,129,928,355,216/50,864,010
  6. Step 6: Final answer
    x = 233,586,182.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.