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Finding the Third Proportional to 136,265,008.50 and 298,908,789.75

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Solution

The third proportional to 136,265,008.50 and 298,908,789.75 is: 655,681,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,265,008.50 : 298,908,789.75 = 298,908,789.75 : x
  2. Step 2: Convert to fraction form
    136,265,008.50/298,908,789.75 = 298,908,789.75/x
  3. Step 3: Cross multiply
    136,265,008.50x = 298,908,789.75 × 298,908,789.75
  4. Step 4: Simplify right side
    136,265,008.50x = 89,346,464,589,809,712
  5. Step 5: Solve for x
    x = 89,346,464,589,809,712/136,265,008.50
  6. Step 6: Final answer
    x = 655,681,642.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.