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Finding the Third Proportional to 97,624,524 and 214,004,760

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Solution

The third proportional to 97,624,524 and 214,004,760 is: 469,124,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,624,524 : 214,004,760 = 214,004,760 : x
  2. Step 2: Convert to fraction form
    97,624,524/214,004,760 = 214,004,760/x
  3. Step 3: Cross multiply
    97,624,524x = 214,004,760 × 214,004,760
  4. Step 4: Simplify right side
    97,624,524x = 45,798,037,302,657,600
  5. Step 5: Solve for x
    x = 45,798,037,302,657,600/97,624,524
  6. Step 6: Final answer
    x = 469,124,308.38

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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.