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Finding the Third Proportional to 99,035 and 146,368.50

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Solution

The third proportional to 99,035 and 146,368.50 is: 216,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,035 : 146,368.50 = 146,368.50 : x
  2. Step 2: Convert to fraction form
    99,035/146,368.50 = 146,368.50/x
  3. Step 3: Cross multiply
    99,035x = 146,368.50 × 146,368.50
  4. Step 4: Simplify right side
    99,035x = 21,423,737,792.25
  5. Step 5: Solve for x
    x = 21,423,737,792.25/99,035
  6. Step 6: Final answer
    x = 216,324.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.