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Finding the Third Proportional to 137,200,727,945 and 297,194,684,818

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Solution

The third proportional to 137,200,727,945 and 297,194,684,818 is: 643,762,478,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,727,945 : 297,194,684,818 = 297,194,684,818 : x
  2. Step 2: Convert to fraction form
    137,200,727,945/297,194,684,818 = 297,194,684,818/x
  3. Step 3: Cross multiply
    137,200,727,945x = 297,194,684,818 × 297,194,684,818
  4. Step 4: Simplify right side
    137,200,727,945x = 88,324,680,684,070,366,085,120
  5. Step 5: Solve for x
    x = 88,324,680,684,070,366,085,120/137,200,727,945
  6. Step 6: Final answer
    x = 643,762,478,574.29

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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.