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Finding the Third Proportional to 182,703,724 and 431,162,222

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Solution

The third proportional to 182,703,724 and 431,162,222 is: 1,017,499,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,703,724 : 431,162,222 = 431,162,222 : x
  2. Step 2: Convert to fraction form
    182,703,724/431,162,222 = 431,162,222/x
  3. Step 3: Cross multiply
    182,703,724x = 431,162,222 × 431,162,222
  4. Step 4: Simplify right side
    182,703,724x = 185,900,861,679,977,280
  5. Step 5: Solve for x
    x = 185,900,861,679,977,280/182,703,724
  6. Step 6: Final answer
    x = 1,017,499,028.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.