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Finding the Third Proportional to 107,146,672 and 232,559,160

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Solution

The third proportional to 107,146,672 and 232,559,160 is: 504,763,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146,672 : 232,559,160 = 232,559,160 : x
  2. Step 2: Convert to fraction form
    107,146,672/232,559,160 = 232,559,160/x
  3. Step 3: Cross multiply
    107,146,672x = 232,559,160 × 232,559,160
  4. Step 4: Simplify right side
    107,146,672x = 54,083,762,899,905,600
  5. Step 5: Solve for x
    x = 54,083,762,899,905,600/107,146,672
  6. Step 6: Final answer
    x = 504,763,814.78

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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.