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Finding the Third Proportional to 113,183,302.50 and 242,501,751

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Solution

The third proportional to 113,183,302.50 and 242,501,751 is: 519,573,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,302.50 : 242,501,751 = 242,501,751 : x
  2. Step 2: Convert to fraction form
    113,183,302.50/242,501,751 = 242,501,751/x
  3. Step 3: Cross multiply
    113,183,302.50x = 242,501,751 × 242,501,751
  4. Step 4: Simplify right side
    113,183,302.50x = 58,807,099,238,066,000
  5. Step 5: Solve for x
    x = 58,807,099,238,066,000/113,183,302.50
  6. Step 6: Final answer
    x = 519,573,982.55

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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.