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Finding the Third Proportional to 98,958 and 233,368.50

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Solution

The third proportional to 98,958 and 233,368.50 is: 550,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,958 : 233,368.50 = 233,368.50 : x
  2. Step 2: Convert to fraction form
    98,958/233,368.50 = 233,368.50/x
  3. Step 3: Cross multiply
    98,958x = 233,368.50 × 233,368.50
  4. Step 4: Simplify right side
    98,958x = 54,460,856,792.25
  5. Step 5: Solve for x
    x = 54,460,856,792.25/98,958
  6. Step 6: Final answer
    x = 550,343.14

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.