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Finding the Third Proportional to 99,312 and 216,464

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Solution

The third proportional to 99,312 and 216,464 is: 471,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312 : 216,464 = 216,464 : x
  2. Step 2: Convert to fraction form
    99,312/216,464 = 216,464/x
  3. Step 3: Cross multiply
    99,312x = 216,464 × 216,464
  4. Step 4: Simplify right side
    99,312x = 46,856,663,296
  5. Step 5: Solve for x
    x = 46,856,663,296/99,312
  6. Step 6: Final answer
    x = 471,812.70

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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.