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Finding the Third Proportional to 199,597.92 and 432,886.64

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Solution

The third proportional to 199,597.92 and 432,886.64 is: 938,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,597.92 : 432,886.64 = 432,886.64 : x
  2. Step 2: Convert to fraction form
    199,597.92/432,886.64 = 432,886.64/x
  3. Step 3: Cross multiply
    199,597.92x = 432,886.64 × 432,886.64
  4. Step 4: Simplify right side
    199,597.92x = 187,390,845,533.94
  5. Step 5: Solve for x
    x = 187,390,845,533.94/199,597.92
  6. Step 6: Final answer
    x = 938,841.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.