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Finding the Third Proportional to 102,674,593.50 and 154,031,762.25

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Solution

The third proportional to 102,674,593.50 and 154,031,762.25 is: 231,077,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674,593.50 : 154,031,762.25 = 154,031,762.25 : x
  2. Step 2: Convert to fraction form
    102,674,593.50/154,031,762.25 = 154,031,762.25/x
  3. Step 3: Cross multiply
    102,674,593.50x = 154,031,762.25 × 154,031,762.25
  4. Step 4: Simplify right side
    102,674,593.50x = 23,725,783,781,840,524
  5. Step 5: Solve for x
    x = 23,725,783,781,840,524/102,674,593.50
  6. Step 6: Final answer
    x = 231,077,455.22

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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.