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Finding the Third Proportional to 113,196 and 153,186.50

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Solution

The third proportional to 113,196 and 153,186.50 is: 207,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,196 : 153,186.50 = 153,186.50 : x
  2. Step 2: Convert to fraction form
    113,196/153,186.50 = 153,186.50/x
  3. Step 3: Cross multiply
    113,196x = 153,186.50 × 153,186.50
  4. Step 4: Simplify right side
    113,196x = 23,466,103,782.25
  5. Step 5: Solve for x
    x = 23,466,103,782.25/113,196
  6. Step 6: Final answer
    x = 207,305.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.