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Finding the Third Proportional to 113,749,872.75 and 245,071,608.75

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Solution

The third proportional to 113,749,872.75 and 245,071,608.75 is: 528,001,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,749,872.75 : 245,071,608.75 = 245,071,608.75 : x
  2. Step 2: Convert to fraction form
    113,749,872.75/245,071,608.75 = 245,071,608.75/x
  3. Step 3: Cross multiply
    113,749,872.75x = 245,071,608.75 × 245,071,608.75
  4. Step 4: Simplify right side
    113,749,872.75x = 60,060,093,415,313,080
  5. Step 5: Solve for x
    x = 60,060,093,415,313,080/113,749,872.75
  6. Step 6: Final answer
    x = 528,001,411.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.