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Finding the Third Proportional to 92,563,602.56 and 192,788,639.63

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Solution

The third proportional to 92,563,602.56 and 192,788,639.63 is: 401,534,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,563,602.56 : 192,788,639.63 = 192,788,639.63 : x
  2. Step 2: Convert to fraction form
    92,563,602.56/192,788,639.63 = 192,788,639.63/x
  3. Step 3: Cross multiply
    92,563,602.56x = 192,788,639.63 × 192,788,639.63
  4. Step 4: Simplify right side
    92,563,602.56x = 37,167,459,568,458,120
  5. Step 5: Solve for x
    x = 37,167,459,568,458,120/92,563,602.56
  6. Step 6: Final answer
    x = 401,534,280.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.