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Finding the Third Proportional to 99,706.50 and 215,068.50

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Solution

The third proportional to 99,706.50 and 215,068.50 is: 463,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.50 : 215,068.50 = 215,068.50 : x
  2. Step 2: Convert to fraction form
    99,706.50/215,068.50 = 215,068.50/x
  3. Step 3: Cross multiply
    99,706.50x = 215,068.50 × 215,068.50
  4. Step 4: Simplify right side
    99,706.50x = 46,254,459,692.25
  5. Step 5: Solve for x
    x = 46,254,459,692.25/99,706.50
  6. Step 6: Final answer
    x = 463,906.16

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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.