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Finding the Third Proportional to 98,090,892 and 210,265,254

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Solution

The third proportional to 98,090,892 and 210,265,254 is: 450,719,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,090,892 : 210,265,254 = 210,265,254 : x
  2. Step 2: Convert to fraction form
    98,090,892/210,265,254 = 210,265,254/x
  3. Step 3: Cross multiply
    98,090,892x = 210,265,254 × 210,265,254
  4. Step 4: Simplify right side
    98,090,892x = 44,211,477,039,684,512
  5. Step 5: Solve for x
    x = 44,211,477,039,684,512/98,090,892
  6. Step 6: Final answer
    x = 450,719,492.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.