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Finding the Third Proportional to 137,200,727,956 and 297,194,684,840

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Solution

The third proportional to 137,200,727,956 and 297,194,684,840 is: 643,762,478,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,727,956 : 297,194,684,840 = 297,194,684,840 : x
  2. Step 2: Convert to fraction form
    137,200,727,956/297,194,684,840 = 297,194,684,840/x
  3. Step 3: Cross multiply
    137,200,727,956x = 297,194,684,840 × 297,194,684,840
  4. Step 4: Simplify right side
    137,200,727,956x = 88,324,680,697,146,930,888,704
  5. Step 5: Solve for x
    x = 88,324,680,697,146,930,888,704/137,200,727,956
  6. Step 6: Final answer
    x = 643,762,478,617.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.