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Finding the Third Proportional to 233,151,164.44 and 482,809,804.88

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Solution

The third proportional to 233,151,164.44 and 482,809,804.88 is: 999,803,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151,164.44 : 482,809,804.88 = 482,809,804.88 : x
  2. Step 2: Convert to fraction form
    233,151,164.44/482,809,804.88 = 482,809,804.88/x
  3. Step 3: Cross multiply
    233,151,164.44x = 482,809,804.88 × 482,809,804.88
  4. Step 4: Simplify right side
    233,151,164.44x = 233,105,307,683,435,584
  5. Step 5: Solve for x
    x = 233,105,307,683,435,584/233,151,164.44
  6. Step 6: Final answer
    x = 999,803,317.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.