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Finding the Third Proportional to 136,278,350.25 and 297,221,656.50

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Solution

The third proportional to 136,278,350.25 and 297,221,656.50 is: 648,237,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,278,350.25 : 297,221,656.50 = 297,221,656.50 : x
  2. Step 2: Convert to fraction form
    136,278,350.25/297,221,656.50 = 297,221,656.50/x
  3. Step 3: Cross multiply
    136,278,350.25x = 297,221,656.50 × 297,221,656.50
  4. Step 4: Simplify right side
    136,278,350.25x = 88,340,713,092,604,000
  5. Step 5: Solve for x
    x = 88,340,713,092,604,000/136,278,350.25
  6. Step 6: Final answer
    x = 648,237,324.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.