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Finding the Third Proportional to 175,903,391.81 and 382,438,457.44

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Solution

The third proportional to 175,903,391.81 and 382,438,457.44 is: 831,474,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,903,391.81 : 382,438,457.44 = 382,438,457.44 : x
  2. Step 2: Convert to fraction form
    175,903,391.81/382,438,457.44 = 382,438,457.44/x
  3. Step 3: Cross multiply
    175,903,391.81x = 382,438,457.44 × 382,438,457.44
  4. Step 4: Simplify right side
    175,903,391.81x = 146,259,173,727,174,496
  5. Step 5: Solve for x
    x = 146,259,173,727,174,496/175,903,391.81
  6. Step 6: Final answer
    x = 831,474,437.30

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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.