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Finding the Third Proportional to 142,235,955 and 310,315,536

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Solution

The third proportional to 142,235,955 and 310,315,536 is: 677,013,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235,955 : 310,315,536 = 310,315,536 : x
  2. Step 2: Convert to fraction form
    142,235,955/310,315,536 = 310,315,536/x
  3. Step 3: Cross multiply
    142,235,955x = 310,315,536 × 310,315,536
  4. Step 4: Simplify right side
    142,235,955x = 96,295,731,882,967,296
  5. Step 5: Solve for x
    x = 96,295,731,882,967,296/142,235,955
  6. Step 6: Final answer
    x = 677,013,993.28

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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.