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Finding the Third Proportional to 318,618,247.50 and 492,077,260.50

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Solution

The third proportional to 318,618,247.50 and 492,077,260.50 is: 759,969,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,618,247.50 : 492,077,260.50 = 492,077,260.50 : x
  2. Step 2: Convert to fraction form
    318,618,247.50/492,077,260.50 = 492,077,260.50/x
  3. Step 3: Cross multiply
    318,618,247.50x = 492,077,260.50 × 492,077,260.50
  4. Step 4: Simplify right side
    318,618,247.50x = 242,140,030,301,184,864
  5. Step 5: Solve for x
    x = 242,140,030,301,184,864/318,618,247.50
  6. Step 6: Final answer
    x = 759,969,123.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.