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Finding the Third Proportional to 98,634 and 152,554.50

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Solution

The third proportional to 98,634 and 152,554.50 is: 235,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,634 : 152,554.50 = 152,554.50 : x
  2. Step 2: Convert to fraction form
    98,634/152,554.50 = 152,554.50/x
  3. Step 3: Cross multiply
    98,634x = 152,554.50 × 152,554.50
  4. Step 4: Simplify right side
    98,634x = 23,272,875,470.25
  5. Step 5: Solve for x
    x = 23,272,875,470.25/98,634
  6. Step 6: Final answer
    x = 235,951.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.