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Finding the Third Proportional to 357,228,657.50 and 769,194,097.50

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Solution

The third proportional to 357,228,657.50 and 769,194,097.50 is: 1,656,248,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228,657.50 : 769,194,097.50 = 769,194,097.50 : x
  2. Step 2: Convert to fraction form
    357,228,657.50/769,194,097.50 = 769,194,097.50/x
  3. Step 3: Cross multiply
    357,228,657.50x = 769,194,097.50 × 769,194,097.50
  4. Step 4: Simplify right side
    357,228,657.50x = 591,659,559,628,839,552
  5. Step 5: Solve for x
    x = 591,659,559,628,839,552/357,228,657.50
  6. Step 6: Final answer
    x = 1,656,248,868.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.