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Finding the Third Proportional to 146,236,441.50 and 317,646,387

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Solution

The third proportional to 146,236,441.50 and 317,646,387 is: 689,973,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236,441.50 : 317,646,387 = 317,646,387 : x
  2. Step 2: Convert to fraction form
    146,236,441.50/317,646,387 = 317,646,387/x
  3. Step 3: Cross multiply
    146,236,441.50x = 317,646,387 × 317,646,387
  4. Step 4: Simplify right side
    146,236,441.50x = 100,899,227,174,153,776
  5. Step 5: Solve for x
    x = 100,899,227,174,153,776/146,236,441.50
  6. Step 6: Final answer
    x = 689,973,211.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.