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Finding the Third Proportional to 137,200,727,943 and 297,194,684,814

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Solution

The third proportional to 137,200,727,943 and 297,194,684,814 is: 643,762,478,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,727,943 : 297,194,684,814 = 297,194,684,814 : x
  2. Step 2: Convert to fraction form
    137,200,727,943/297,194,684,814 = 297,194,684,814/x
  3. Step 3: Cross multiply
    137,200,727,943x = 297,194,684,814 × 297,194,684,814
  4. Step 4: Simplify right side
    137,200,727,943x = 88,324,680,681,692,799,696,896
  5. Step 5: Solve for x
    x = 88,324,680,681,692,799,696,896/137,200,727,943
  6. Step 6: Final answer
    x = 643,762,478,566.35

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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.