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Finding the Third Proportional to 107,146,871 and 232,559,566

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Solution

The third proportional to 107,146,871 and 232,559,566 is: 504,764,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146,871 : 232,559,566 = 232,559,566 : x
  2. Step 2: Convert to fraction form
    107,146,871/232,559,566 = 232,559,566/x
  3. Step 3: Cross multiply
    107,146,871x = 232,559,566 × 232,559,566
  4. Step 4: Simplify right side
    107,146,871x = 54,083,951,738,108,352
  5. Step 5: Solve for x
    x = 54,083,951,738,108,352/107,146,871
  6. Step 6: Final answer
    x = 504,764,639.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.