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Finding the Third Proportional to 77,938.45 and 168,038.72

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Solution

The third proportional to 77,938.45 and 168,038.72 is: 362,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,938.45 : 168,038.72 = 168,038.72 : x
  2. Step 2: Convert to fraction form
    77,938.45/168,038.72 = 168,038.72/x
  3. Step 3: Cross multiply
    77,938.45x = 168,038.72 × 168,038.72
  4. Step 4: Simplify right side
    77,938.45x = 28,237,010,999.14
  5. Step 5: Solve for x
    x = 28,237,010,999.14/77,938.45
  6. Step 6: Final answer
    x = 362,298.84

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