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Finding the Third Proportional to 88,140.88 and 190,307.50

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Solution

The third proportional to 88,140.88 and 190,307.50 is: 410,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,140.88 : 190,307.50 = 190,307.50 : x
  2. Step 2: Convert to fraction form
    88,140.88/190,307.50 = 190,307.50/x
  3. Step 3: Cross multiply
    88,140.88x = 190,307.50 × 190,307.50
  4. Step 4: Simplify right side
    88,140.88x = 36,216,944,556.25
  5. Step 5: Solve for x
    x = 36,216,944,556.25/88,140.88
  6. Step 6: Final answer
    x = 410,898.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.