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Finding the Third Proportional to 182,023,948 and 401,153,239

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Solution

The third proportional to 182,023,948 and 401,153,239 is: 884,081,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,023,948 : 401,153,239 = 401,153,239 : x
  2. Step 2: Convert to fraction form
    182,023,948/401,153,239 = 401,153,239/x
  3. Step 3: Cross multiply
    182,023,948x = 401,153,239 × 401,153,239
  4. Step 4: Simplify right side
    182,023,948x = 160,923,921,160,191,136
  5. Step 5: Solve for x
    x = 160,923,921,160,191,136/182,023,948
  6. Step 6: Final answer
    x = 884,081,039.49

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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.