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Finding the Third Proportional to 97,486.03 and 210,964.50

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Solution

The third proportional to 97,486.03 and 210,964.50 is: 456,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,486.03 : 210,964.50 = 210,964.50 : x
  2. Step 2: Convert to fraction form
    97,486.03/210,964.50 = 210,964.50/x
  3. Step 3: Cross multiply
    97,486.03x = 210,964.50 × 210,964.50
  4. Step 4: Simplify right side
    97,486.03x = 44,506,020,260.25
  5. Step 5: Solve for x
    x = 44,506,020,260.25/97,486.03
  6. Step 6: Final answer
    x = 456,537.41

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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.