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Finding the Third Proportional to 165,015,060 and 349,700,482.50

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Solution

The third proportional to 165,015,060 and 349,700,482.50 is: 741,086,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015,060 : 349,700,482.50 = 349,700,482.50 : x
  2. Step 2: Convert to fraction form
    165,015,060/349,700,482.50 = 349,700,482.50/x
  3. Step 3: Cross multiply
    165,015,060x = 349,700,482.50 × 349,700,482.50
  4. Step 4: Simplify right side
    165,015,060x = 122,290,427,460,732,800
  5. Step 5: Solve for x
    x = 122,290,427,460,732,800/165,015,060
  6. Step 6: Final answer
    x = 741,086,464.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.