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Finding the Third Proportional to 238,432,384.50 and 322,042,026

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Solution

The third proportional to 238,432,384.50 and 322,042,026 is: 434,970,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,432,384.50 : 322,042,026 = 322,042,026 : x
  2. Step 2: Convert to fraction form
    238,432,384.50/322,042,026 = 322,042,026/x
  3. Step 3: Cross multiply
    238,432,384.50x = 322,042,026 × 322,042,026
  4. Step 4: Simplify right side
    238,432,384.50x = 103,711,066,510,184,672
  5. Step 5: Solve for x
    x = 103,711,066,510,184,672/238,432,384.50
  6. Step 6: Final answer
    x = 434,970,554.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.