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Finding the Third Proportional to 46,810.50 and 97,510.50

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Solution

The third proportional to 46,810.50 and 97,510.50 is: 203,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,810.50 : 97,510.50 = 97,510.50 : x
  2. Step 2: Convert to fraction form
    46,810.50/97,510.50 = 97,510.50/x
  3. Step 3: Cross multiply
    46,810.50x = 97,510.50 × 97,510.50
  4. Step 4: Simplify right side
    46,810.50x = 9,508,297,610.25
  5. Step 5: Solve for x
    x = 9,508,297,610.25/46,810.50
  6. Step 6: Final answer
    x = 203,123.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.