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Finding the Third Proportional to 191,903,574 and 280,658,112

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Solution

The third proportional to 191,903,574 and 280,658,112 is: 410,461,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,574 : 280,658,112 = 280,658,112 : x
  2. Step 2: Convert to fraction form
    191,903,574/280,658,112 = 280,658,112/x
  3. Step 3: Cross multiply
    191,903,574x = 280,658,112 × 280,658,112
  4. Step 4: Simplify right side
    191,903,574x = 78,768,975,831,404,544
  5. Step 5: Solve for x
    x = 78,768,975,831,404,544/191,903,574
  6. Step 6: Final answer
    x = 410,461,223.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.