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Finding the Third Proportional to 97,903,609 and 146,855,413

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Solution

The third proportional to 97,903,609 and 146,855,413 is: 220,283,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,903,609 : 146,855,413 = 146,855,413 : x
  2. Step 2: Convert to fraction form
    97,903,609/146,855,413 = 146,855,413/x
  3. Step 3: Cross multiply
    97,903,609x = 146,855,413 × 146,855,413
  4. Step 4: Simplify right side
    97,903,609x = 21,566,512,327,400,568
  5. Step 5: Solve for x
    x = 21,566,512,327,400,568/97,903,609
  6. Step 6: Final answer
    x = 220,283,118.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.