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Finding the Third Proportional to 99,901.90 and 214,053.47

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Solution

The third proportional to 99,901.90 and 214,053.47 is: 458,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,901.90 : 214,053.47 = 214,053.47 : x
  2. Step 2: Convert to fraction form
    99,901.90/214,053.47 = 214,053.47/x
  3. Step 3: Cross multiply
    99,901.90x = 214,053.47 × 214,053.47
  4. Step 4: Simplify right side
    99,901.90x = 45,818,887,483.91
  5. Step 5: Solve for x
    x = 45,818,887,483.91/99,901.90
  6. Step 6: Final answer
    x = 458,638.81

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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.