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Finding the Third Proportional to 166,433,899.50 and 265,062,577.50

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Solution

The third proportional to 166,433,899.50 and 265,062,577.50 is: 422,138,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,433,899.50 : 265,062,577.50 = 265,062,577.50 : x
  2. Step 2: Convert to fraction form
    166,433,899.50/265,062,577.50 = 265,062,577.50/x
  3. Step 3: Cross multiply
    166,433,899.50x = 265,062,577.50 × 265,062,577.50
  4. Step 4: Simplify right side
    166,433,899.50x = 70,258,169,990,943,504
  5. Step 5: Solve for x
    x = 70,258,169,990,943,504/166,433,899.50
  6. Step 6: Final answer
    x = 422,138,579.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.