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Finding the Third Proportional to 137,968,283 and 300,430,966

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Solution

The third proportional to 137,968,283 and 300,430,966 is: 654,199,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,968,283 : 300,430,966 = 300,430,966 : x
  2. Step 2: Convert to fraction form
    137,968,283/300,430,966 = 300,430,966/x
  3. Step 3: Cross multiply
    137,968,283x = 300,430,966 × 300,430,966
  4. Step 4: Simplify right side
    137,968,283x = 90,258,765,331,693,152
  5. Step 5: Solve for x
    x = 90,258,765,331,693,152/137,968,283
  6. Step 6: Final answer
    x = 654,199,380.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.