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Finding the Third Proportional to 97,215 and 152,302.50

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Solution

The third proportional to 97,215 and 152,302.50 is: 238,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,215 : 152,302.50 = 152,302.50 : x
  2. Step 2: Convert to fraction form
    97,215/152,302.50 = 152,302.50/x
  3. Step 3: Cross multiply
    97,215x = 152,302.50 × 152,302.50
  4. Step 4: Simplify right side
    97,215x = 23,196,051,506.25
  5. Step 5: Solve for x
    x = 23,196,051,506.25/97,215
  6. Step 6: Final answer
    x = 238,605.68

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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.