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Finding the Third Proportional to 190,546,849.50 and 291,296,740.50

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Solution

The third proportional to 190,546,849.50 and 291,296,740.50 is: 445,317,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,546,849.50 : 291,296,740.50 = 291,296,740.50 : x
  2. Step 2: Convert to fraction form
    190,546,849.50/291,296,740.50 = 291,296,740.50/x
  3. Step 3: Cross multiply
    190,546,849.50x = 291,296,740.50 × 291,296,740.50
  4. Step 4: Simplify right side
    190,546,849.50x = 84,853,791,025,924,336
  5. Step 5: Solve for x
    x = 84,853,791,025,924,336/190,546,849.50
  6. Step 6: Final answer
    x = 445,317,208.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.