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Finding the Third Proportional to 52,211,144 and 110,646,283

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Solution

The third proportional to 52,211,144 and 110,646,283 is: 234,482,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211,144 : 110,646,283 = 110,646,283 : x
  2. Step 2: Convert to fraction form
    52,211,144/110,646,283 = 110,646,283/x
  3. Step 3: Cross multiply
    52,211,144x = 110,646,283 × 110,646,283
  4. Step 4: Simplify right side
    52,211,144x = 12,242,599,941,716,088
  5. Step 5: Solve for x
    x = 12,242,599,941,716,088/52,211,144
  6. Step 6: Final answer
    x = 234,482,507.06

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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.