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Finding the Third Proportional to 182,287,642 and 260,484,800

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Solution

The third proportional to 182,287,642 and 260,484,800 is: 372,226,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,287,642 : 260,484,800 = 260,484,800 : x
  2. Step 2: Convert to fraction form
    182,287,642/260,484,800 = 260,484,800/x
  3. Step 3: Cross multiply
    182,287,642x = 260,484,800 × 260,484,800
  4. Step 4: Simplify right side
    182,287,642x = 67,852,331,031,040,000
  5. Step 5: Solve for x
    x = 67,852,331,031,040,000/182,287,642
  6. Step 6: Final answer
    x = 372,226,719.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.