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Finding the Third Proportional to 107,310,066 and 232,447,429.50

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Solution

The third proportional to 107,310,066 and 232,447,429.50 is: 503,511,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,310,066 : 232,447,429.50 = 232,447,429.50 : x
  2. Step 2: Convert to fraction form
    107,310,066/232,447,429.50 = 232,447,429.50/x
  3. Step 3: Cross multiply
    107,310,066x = 232,447,429.50 × 232,447,429.50
  4. Step 4: Simplify right side
    107,310,066x = 54,031,807,481,157,472
  5. Step 5: Solve for x
    x = 54,031,807,481,157,472/107,310,066
  6. Step 6: Final answer
    x = 503,511,082.37

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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.