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Finding the Third Proportional to 242,769,380.50 and 354,937,323.50

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Solution

The third proportional to 242,769,380.50 and 354,937,323.50 is: 518,930,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,769,380.50 : 354,937,323.50 = 354,937,323.50 : x
  2. Step 2: Convert to fraction form
    242,769,380.50/354,937,323.50 = 354,937,323.50/x
  3. Step 3: Cross multiply
    242,769,380.50x = 354,937,323.50 × 354,937,323.50
  4. Step 4: Simplify right side
    242,769,380.50x = 125,980,503,613,343,648
  5. Step 5: Solve for x
    x = 125,980,503,613,343,648/242,769,380.50
  6. Step 6: Final answer
    x = 518,930,778.48

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Why These Related Problems?

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