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Finding the Third Proportional to 83,637,903 and 181,173,826.50

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Solution

The third proportional to 83,637,903 and 181,173,826.50 is: 392,453,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,637,903 : 181,173,826.50 = 181,173,826.50 : x
  2. Step 2: Convert to fraction form
    83,637,903/181,173,826.50 = 181,173,826.50/x
  3. Step 3: Cross multiply
    83,637,903x = 181,173,826.50 × 181,173,826.50
  4. Step 4: Simplify right side
    83,637,903x = 32,823,955,408,652,104
  5. Step 5: Solve for x
    x = 32,823,955,408,652,104/83,637,903
  6. Step 6: Final answer
    x = 392,453,113.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.