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Finding the Third Proportional to 251,541,410 and 399,987,254.50

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Solution

The third proportional to 251,541,410 and 399,987,254.50 is: 636,037,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,541,410 : 399,987,254.50 = 399,987,254.50 : x
  2. Step 2: Convert to fraction form
    251,541,410/399,987,254.50 = 399,987,254.50/x
  3. Step 3: Cross multiply
    251,541,410x = 399,987,254.50 × 399,987,254.50
  4. Step 4: Simplify right side
    251,541,410x = 159,989,803,762,447,776
  5. Step 5: Solve for x
    x = 159,989,803,762,447,776/251,541,410
  6. Step 6: Final answer
    x = 636,037,635.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.