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Finding the Third Proportional to 107,146,614 and 232,559,046

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Solution

The third proportional to 107,146,614 and 232,559,046 is: 504,763,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146,614 : 232,559,046 = 232,559,046 : x
  2. Step 2: Convert to fraction form
    107,146,614/232,559,046 = 232,559,046/x
  3. Step 3: Cross multiply
    107,146,614x = 232,559,046 × 232,559,046
  4. Step 4: Simplify right side
    107,146,614x = 54,083,709,876,430,112
  5. Step 5: Solve for x
    x = 54,083,709,876,430,112/107,146,614
  6. Step 6: Final answer
    x = 504,763,593.15

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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.