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Finding the Third Proportional to 88,098,183 and 193,137,606

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Solution

The third proportional to 88,098,183 and 193,137,606 is: 423,415,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,098,183 : 193,137,606 = 193,137,606 : x
  2. Step 2: Convert to fraction form
    88,098,183/193,137,606 = 193,137,606/x
  3. Step 3: Cross multiply
    88,098,183x = 193,137,606 × 193,137,606
  4. Step 4: Simplify right side
    88,098,183x = 37,302,134,851,411,232
  5. Step 5: Solve for x
    x = 37,302,134,851,411,232/88,098,183
  6. Step 6: Final answer
    x = 423,415,484.65

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Why These Related Problems?

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