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Finding the Third Proportional to 96,053 and 210,789

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Solution

The third proportional to 96,053 and 210,789 is: 462,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,053 : 210,789 = 210,789 : x
  2. Step 2: Convert to fraction form
    96,053/210,789 = 210,789/x
  3. Step 3: Cross multiply
    96,053x = 210,789 × 210,789
  4. Step 4: Simplify right side
    96,053x = 44,432,002,521
  5. Step 5: Solve for x
    x = 44,432,002,521/96,053
  6. Step 6: Final answer
    x = 462,577.98

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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.