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Finding the Third Proportional to 68,082,353,971 and 148,989,931,037

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Solution

The third proportional to 68,082,353,971 and 148,989,931,037 is: 326,046,299,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082,353,971 : 148,989,931,037 = 148,989,931,037 : x
  2. Step 2: Convert to fraction form
    68,082,353,971/148,989,931,037 = 148,989,931,037/x
  3. Step 3: Cross multiply
    68,082,353,971x = 148,989,931,037 × 148,989,931,037
  4. Step 4: Simplify right side
    68,082,353,971x = 22,197,999,550,410,015,113,216
  5. Step 5: Solve for x
    x = 22,197,999,550,410,015,113,216/68,082,353,971
  6. Step 6: Final answer
    x = 326,046,299,160.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.