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Finding the Third Proportional to 117,433.13 and 157,303.69

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Solution

The third proportional to 117,433.13 and 157,303.69 is: 210,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433.13 : 157,303.69 = 157,303.69 : x
  2. Step 2: Convert to fraction form
    117,433.13/157,303.69 = 157,303.69/x
  3. Step 3: Cross multiply
    117,433.13x = 157,303.69 × 157,303.69
  4. Step 4: Simplify right side
    117,433.13x = 24,744,450,101.10
  5. Step 5: Solve for x
    x = 24,744,450,101.10/117,433.13
  6. Step 6: Final answer
    x = 210,710.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.