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Finding the Third Proportional to 99,076 and 216,260

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Solution

The third proportional to 99,076 and 216,260 is: 472,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,076 : 216,260 = 216,260 : x
  2. Step 2: Convert to fraction form
    99,076/216,260 = 216,260/x
  3. Step 3: Cross multiply
    99,076x = 216,260 × 216,260
  4. Step 4: Simplify right side
    99,076x = 46,768,387,600
  5. Step 5: Solve for x
    x = 46,768,387,600/99,076
  6. Step 6: Final answer
    x = 472,045.58

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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.