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Finding the Third Proportional to 139,147.13 and 297,970.50

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Solution

The third proportional to 139,147.13 and 297,970.50 is: 638,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,147.13 : 297,970.50 = 297,970.50 : x
  2. Step 2: Convert to fraction form
    139,147.13/297,970.50 = 297,970.50/x
  3. Step 3: Cross multiply
    139,147.13x = 297,970.50 × 297,970.50
  4. Step 4: Simplify right side
    139,147.13x = 88,786,418,870.25
  5. Step 5: Solve for x
    x = 88,786,418,870.25/139,147.13
  6. Step 6: Final answer
    x = 638,075.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.