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Finding the Third Proportional to 85,174,309.69 and 185,295,397.50

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Solution

The third proportional to 85,174,309.69 and 185,295,397.50 is: 403,107,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174,309.69 : 185,295,397.50 = 185,295,397.50 : x
  2. Step 2: Convert to fraction form
    85,174,309.69/185,295,397.50 = 185,295,397.50/x
  3. Step 3: Cross multiply
    85,174,309.69x = 185,295,397.50 × 185,295,397.50
  4. Step 4: Simplify right side
    85,174,309.69x = 34,334,384,334,683,008
  5. Step 5: Solve for x
    x = 34,334,384,334,683,008/85,174,309.69
  6. Step 6: Final answer
    x = 403,107,280.36

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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.