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Finding the Third Proportional to 97,135.50 and 211,362

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Solution

The third proportional to 97,135.50 and 211,362 is: 459,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,135.50 : 211,362 = 211,362 : x
  2. Step 2: Convert to fraction form
    97,135.50/211,362 = 211,362/x
  3. Step 3: Cross multiply
    97,135.50x = 211,362 × 211,362
  4. Step 4: Simplify right side
    97,135.50x = 44,673,895,044
  5. Step 5: Solve for x
    x = 44,673,895,044/97,135.50
  6. Step 6: Final answer
    x = 459,913.16

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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.