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Finding the Third Proportional to 98,773 and 152,983.50

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Solution

The third proportional to 98,773 and 152,983.50 is: 236,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,773 : 152,983.50 = 152,983.50 : x
  2. Step 2: Convert to fraction form
    98,773/152,983.50 = 152,983.50/x
  3. Step 3: Cross multiply
    98,773x = 152,983.50 × 152,983.50
  4. Step 4: Simplify right side
    98,773x = 23,403,951,272.25
  5. Step 5: Solve for x
    x = 23,403,951,272.25/98,773
  6. Step 6: Final answer
    x = 236,946.85

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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.