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Finding the Third Proportional to 183,074,826 and 276,314,736

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Solution

The third proportional to 183,074,826 and 276,314,736 is: 417,041,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,074,826 : 276,314,736 = 276,314,736 : x
  2. Step 2: Convert to fraction form
    183,074,826/276,314,736 = 276,314,736/x
  3. Step 3: Cross multiply
    183,074,826x = 276,314,736 × 276,314,736
  4. Step 4: Simplify right side
    183,074,826x = 76,349,833,330,749,696
  5. Step 5: Solve for x
    x = 76,349,833,330,749,696/183,074,826
  6. Step 6: Final answer
    x = 417,041,681.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.