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Finding the Third Proportional to 96,207,499 and 210,049,862

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Solution

The third proportional to 96,207,499 and 210,049,862 is: 458,601,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207,499 : 210,049,862 = 210,049,862 : x
  2. Step 2: Convert to fraction form
    96,207,499/210,049,862 = 210,049,862/x
  3. Step 3: Cross multiply
    96,207,499x = 210,049,862 × 210,049,862
  4. Step 4: Simplify right side
    96,207,499x = 44,120,944,526,219,040
  5. Step 5: Solve for x
    x = 44,120,944,526,219,040/96,207,499
  6. Step 6: Final answer
    x = 458,601,927.97

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Why These Related Problems?

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