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Finding the Third Proportional to 142,236,000 and 310,315,616

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Solution

The third proportional to 142,236,000 and 310,315,616 is: 677,014,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,236,000 : 310,315,616 = 310,315,616 : x
  2. Step 2: Convert to fraction form
    142,236,000/310,315,616 = 310,315,616/x
  3. Step 3: Cross multiply
    142,236,000x = 310,315,616 × 310,315,616
  4. Step 4: Simplify right side
    142,236,000x = 96,295,781,533,459,456
  5. Step 5: Solve for x
    x = 96,295,781,533,459,456/142,236,000
  6. Step 6: Final answer
    x = 677,014,128.16

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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.