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Finding the Third Proportional to 179,364,631.50 and 292,883,789.25

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Solution

The third proportional to 179,364,631.50 and 292,883,789.25 is: 478,248,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,364,631.50 : 292,883,789.25 = 292,883,789.25 : x
  2. Step 2: Convert to fraction form
    179,364,631.50/292,883,789.25 = 292,883,789.25/x
  3. Step 3: Cross multiply
    179,364,631.50x = 292,883,789.25 × 292,883,789.25
  4. Step 4: Simplify right side
    179,364,631.50x = 85,780,914,005,438,416
  5. Step 5: Solve for x
    x = 85,780,914,005,438,416/179,364,631.50
  6. Step 6: Final answer
    x = 478,248,767.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.