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Finding the Third Proportional to 97,624,529 and 214,004,770

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Solution

The third proportional to 97,624,529 and 214,004,770 is: 469,124,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,624,529 : 214,004,770 = 214,004,770 : x
  2. Step 2: Convert to fraction form
    97,624,529/214,004,770 = 214,004,770/x
  3. Step 3: Cross multiply
    97,624,529x = 214,004,770 × 214,004,770
  4. Step 4: Simplify right side
    97,624,529x = 45,798,041,582,752,896
  5. Step 5: Solve for x
    x = 45,798,041,582,752,896/97,624,529
  6. Step 6: Final answer
    x = 469,124,328.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.