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Finding the Third Proportional to 194,590,688.25 and 313,355,094.56

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Solution

The third proportional to 194,590,688.25 and 313,355,094.56 is: 504,604,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,590,688.25 : 313,355,094.56 = 313,355,094.56 : x
  2. Step 2: Convert to fraction form
    194,590,688.25/313,355,094.56 = 313,355,094.56/x
  3. Step 3: Cross multiply
    194,590,688.25x = 313,355,094.56 × 313,355,094.56
  4. Step 4: Simplify right side
    194,590,688.25x = 98,191,415,288,273,312
  5. Step 5: Solve for x
    x = 98,191,415,288,273,312/194,590,688.25
  6. Step 6: Final answer
    x = 504,604,902.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.