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Finding the Third Proportional to 96,187,672.50 and 201,823,185

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Solution

The third proportional to 96,187,672.50 and 201,823,185 is: 423,470,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,187,672.50 : 201,823,185 = 201,823,185 : x
  2. Step 2: Convert to fraction form
    96,187,672.50/201,823,185 = 201,823,185/x
  3. Step 3: Cross multiply
    96,187,672.50x = 201,823,185 × 201,823,185
  4. Step 4: Simplify right side
    96,187,672.50x = 40,732,598,003,544,224
  5. Step 5: Solve for x
    x = 40,732,598,003,544,224/96,187,672.50
  6. Step 6: Final answer
    x = 423,470,045.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.