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Finding the Third Proportional to 99,633 and 215,547

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Solution

The third proportional to 99,633 and 215,547 is: 466,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,633 : 215,547 = 215,547 : x
  2. Step 2: Convert to fraction form
    99,633/215,547 = 215,547/x
  3. Step 3: Cross multiply
    99,633x = 215,547 × 215,547
  4. Step 4: Simplify right side
    99,633x = 46,460,509,209
  5. Step 5: Solve for x
    x = 46,460,509,209/99,633
  6. Step 6: Final answer
    x = 466,316.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.