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Finding the Third Proportional to 287,337,216 and 438,179,976

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Solution

The third proportional to 287,337,216 and 438,179,976 is: 668,210,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,337,216 : 438,179,976 = 438,179,976 : x
  2. Step 2: Convert to fraction form
    287,337,216/438,179,976 = 438,179,976/x
  3. Step 3: Cross multiply
    287,337,216x = 438,179,976 × 438,179,976
  4. Step 4: Simplify right side
    287,337,216x = 192,001,691,367,360,576
  5. Step 5: Solve for x
    x = 192,001,691,367,360,576/287,337,216
  6. Step 6: Final answer
    x = 668,210,314.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.