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Finding the Third Proportional to 71,023,906,284.75 and 154,550,881,158.75

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Solution

The third proportional to 71,023,906,284.75 and 154,550,881,158.75 is: 336,308,943,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023,906,284.75 : 154,550,881,158.75 = 154,550,881,158.75 : x
  2. Step 2: Convert to fraction form
    71,023,906,284.75/154,550,881,158.75 = 154,550,881,158.75/x
  3. Step 3: Cross multiply
    71,023,906,284.75x = 154,550,881,158.75 × 154,550,881,158.75
  4. Step 4: Simplify right side
    71,023,906,284.75x = 23,885,974,866,946,064,121,856
  5. Step 5: Solve for x
    x = 23,885,974,866,946,064,121,856/71,023,906,284.75
  6. Step 6: Final answer
    x = 336,308,943,233.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.