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Finding the Third Proportional to 85,174,545.94 and 185,295,871.69

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Solution

The third proportional to 85,174,545.94 and 185,295,871.69 is: 403,108,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174,545.94 : 185,295,871.69 = 185,295,871.69 : x
  2. Step 2: Convert to fraction form
    85,174,545.94/185,295,871.69 = 185,295,871.69/x
  3. Step 3: Cross multiply
    85,174,545.94x = 185,295,871.69 × 185,295,871.69
  4. Step 4: Simplify right side
    85,174,545.94x = 34,334,560,064,430,464
  5. Step 5: Solve for x
    x = 34,334,560,064,430,464/85,174,545.94
  6. Step 6: Final answer
    x = 403,108,225.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.