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Finding the Third Proportional to 182,222,964 and 293,438,990.25

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Solution

The third proportional to 182,222,964 and 293,438,990.25 is: 472,533,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,222,964 : 293,438,990.25 = 293,438,990.25 : x
  2. Step 2: Convert to fraction form
    182,222,964/293,438,990.25 = 293,438,990.25/x
  3. Step 3: Cross multiply
    182,222,964x = 293,438,990.25 × 293,438,990.25
  4. Step 4: Simplify right side
    182,222,964x = 86,106,440,998,939,600
  5. Step 5: Solve for x
    x = 86,106,440,998,939,600/182,222,964
  6. Step 6: Final answer
    x = 472,533,423.39

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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.