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Finding the Third Proportional to 182,223,024 and 293,439,080

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Solution

The third proportional to 182,223,024 and 293,439,080 is: 472,533,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,223,024 : 293,439,080 = 293,439,080 : x
  2. Step 2: Convert to fraction form
    182,223,024/293,439,080 = 293,439,080/x
  3. Step 3: Cross multiply
    182,223,024x = 293,439,080 × 293,439,080
  4. Step 4: Simplify right side
    182,223,024x = 86,106,493,671,246,400
  5. Step 5: Solve for x
    x = 86,106,493,671,246,400/182,223,024
  6. Step 6: Final answer
    x = 472,533,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.