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Finding the Third Proportional to 182,093,431 and 400,507,533.50

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Solution

The third proportional to 182,093,431 and 400,507,533.50 is: 880,900,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,093,431 : 400,507,533.50 = 400,507,533.50 : x
  2. Step 2: Convert to fraction form
    182,093,431/400,507,533.50 = 400,507,533.50/x
  3. Step 3: Cross multiply
    182,093,431x = 400,507,533.50 × 400,507,533.50
  4. Step 4: Simplify right side
    182,093,431x = 160,406,284,390,253,632
  5. Step 5: Solve for x
    x = 160,406,284,390,253,632/182,093,431
  6. Step 6: Final answer
    x = 880,900,994.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.