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Finding the Third Proportional to 178,540,423.88 and 386,875,164.38

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Solution

The third proportional to 178,540,423.88 and 386,875,164.38 is: 838,310,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,540,423.88 : 386,875,164.38 = 386,875,164.38 : x
  2. Step 2: Convert to fraction form
    178,540,423.88/386,875,164.38 = 386,875,164.38/x
  3. Step 3: Cross multiply
    178,540,423.88x = 386,875,164.38 × 386,875,164.38
  4. Step 4: Simplify right side
    178,540,423.88x = 149,672,392,810,183,264
  5. Step 5: Solve for x
    x = 149,672,392,810,183,264/178,540,423.88
  6. Step 6: Final answer
    x = 838,310,952.57

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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.