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Finding the Third Proportional to 85,972,783.50 and 181,649,367

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Solution

The third proportional to 85,972,783.50 and 181,649,367 is: 383,801,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972,783.50 : 181,649,367 = 181,649,367 : x
  2. Step 2: Convert to fraction form
    85,972,783.50/181,649,367 = 181,649,367/x
  3. Step 3: Cross multiply
    85,972,783.50x = 181,649,367 × 181,649,367
  4. Step 4: Simplify right side
    85,972,783.50x = 32,996,492,531,500,688
  5. Step 5: Solve for x
    x = 32,996,492,531,500,688/85,972,783.50
  6. Step 6: Final answer
    x = 383,801,607.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.