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Finding the Third Proportional to 178,002,957.38 and 369,648,420.75

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Solution

The third proportional to 178,002,957.38 and 369,648,420.75 is: 767,627,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002,957.38 : 369,648,420.75 = 369,648,420.75 : x
  2. Step 2: Convert to fraction form
    178,002,957.38/369,648,420.75 = 369,648,420.75/x
  3. Step 3: Cross multiply
    178,002,957.38x = 369,648,420.75 × 369,648,420.75
  4. Step 4: Simplify right side
    178,002,957.38x = 136,639,954,962,969,024
  5. Step 5: Solve for x
    x = 136,639,954,962,969,024/178,002,957.38
  6. Step 6: Final answer
    x = 767,627,442.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.