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Finding the Third Proportional to 66,281,472 and 144,036,000

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Solution

The third proportional to 66,281,472 and 144,036,000 is: 313,004,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,472 : 144,036,000 = 144,036,000 : x
  2. Step 2: Convert to fraction form
    66,281,472/144,036,000 = 144,036,000/x
  3. Step 3: Cross multiply
    66,281,472x = 144,036,000 × 144,036,000
  4. Step 4: Simplify right side
    66,281,472x = 20,746,369,296,000,000
  5. Step 5: Solve for x
    x = 20,746,369,296,000,000/66,281,472
  6. Step 6: Final answer
    x = 313,004,051.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.