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Finding the Third Proportional to 97,173 and 233,887.50

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Solution

The third proportional to 97,173 and 233,887.50 is: 562,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,173 : 233,887.50 = 233,887.50 : x
  2. Step 2: Convert to fraction form
    97,173/233,887.50 = 233,887.50/x
  3. Step 3: Cross multiply
    97,173x = 233,887.50 × 233,887.50
  4. Step 4: Simplify right side
    97,173x = 54,703,362,656.25
  5. Step 5: Solve for x
    x = 54,703,362,656.25/97,173
  6. Step 6: Final answer
    x = 562,948.17

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.