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Finding the Third Proportional to 97,780 and 187,784

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Solution

The third proportional to 97,780 and 187,784 is: 360,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780 : 187,784 = 187,784 : x
  2. Step 2: Convert to fraction form
    97,780/187,784 = 187,784/x
  3. Step 3: Cross multiply
    97,780x = 187,784 × 187,784
  4. Step 4: Simplify right side
    97,780x = 35,262,830,656
  5. Step 5: Solve for x
    x = 35,262,830,656/97,780
  6. Step 6: Final answer
    x = 360,634.39

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.