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Finding the Third Proportional to 97,111 and 152,594.50

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Solution

The third proportional to 97,111 and 152,594.50 is: 239,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,111 : 152,594.50 = 152,594.50 : x
  2. Step 2: Convert to fraction form
    97,111/152,594.50 = 152,594.50/x
  3. Step 3: Cross multiply
    97,111x = 152,594.50 × 152,594.50
  4. Step 4: Simplify right side
    97,111x = 23,285,081,430.25
  5. Step 5: Solve for x
    x = 23,285,081,430.25/97,111
  6. Step 6: Final answer
    x = 239,778.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.