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Finding the Third Proportional to 92,563,627.50 and 192,788,690.63

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Solution

The third proportional to 92,563,627.50 and 192,788,690.63 is: 401,534,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,563,627.50 : 192,788,690.63 = 192,788,690.63 : x
  2. Step 2: Convert to fraction form
    92,563,627.50/192,788,690.63 = 192,788,690.63/x
  3. Step 3: Cross multiply
    92,563,627.50x = 192,788,690.63 × 192,788,690.63
  4. Step 4: Simplify right side
    92,563,627.50x = 37,167,479,232,901,960
  5. Step 5: Solve for x
    x = 37,167,479,232,901,960/92,563,627.50
  6. Step 6: Final answer
    x = 401,534,384.91

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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.