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Finding the Third Proportional to 181,092,245 and 392,808,750

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Solution

The third proportional to 181,092,245 and 392,808,750 is: 852,044,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,092,245 : 392,808,750 = 392,808,750 : x
  2. Step 2: Convert to fraction form
    181,092,245/392,808,750 = 392,808,750/x
  3. Step 3: Cross multiply
    181,092,245x = 392,808,750 × 392,808,750
  4. Step 4: Simplify right side
    181,092,245x = 154,298,714,076,562,496
  5. Step 5: Solve for x
    x = 154,298,714,076,562,496/181,092,245
  6. Step 6: Final answer
    x = 852,044,846.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.