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Finding the Third Proportional to 169,457,184 and 365,788,224

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Solution

The third proportional to 169,457,184 and 365,788,224 is: 789,586,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,457,184 : 365,788,224 = 365,788,224 : x
  2. Step 2: Convert to fraction form
    169,457,184/365,788,224 = 365,788,224/x
  3. Step 3: Cross multiply
    169,457,184x = 365,788,224 × 365,788,224
  4. Step 4: Simplify right side
    169,457,184x = 133,801,024,817,074,176
  5. Step 5: Solve for x
    x = 133,801,024,817,074,176/169,457,184
  6. Step 6: Final answer
    x = 789,586,027.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.