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Finding the Third Proportional to 45,807 and 100,470

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Solution

The third proportional to 45,807 and 100,470 is: 220,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,807 : 100,470 = 100,470 : x
  2. Step 2: Convert to fraction form
    45,807/100,470 = 100,470/x
  3. Step 3: Cross multiply
    45,807x = 100,470 × 100,470
  4. Step 4: Simplify right side
    45,807x = 10,094,220,900
  5. Step 5: Solve for x
    x = 10,094,220,900/45,807
  6. Step 6: Final answer
    x = 220,364.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.