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Finding the Third Proportional to 65,877,524 and 143,095,600

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Solution

The third proportional to 65,877,524 and 143,095,600 is: 310,824,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,524 : 143,095,600 = 143,095,600 : x
  2. Step 2: Convert to fraction form
    65,877,524/143,095,600 = 143,095,600/x
  3. Step 3: Cross multiply
    65,877,524x = 143,095,600 × 143,095,600
  4. Step 4: Simplify right side
    65,877,524x = 20,476,350,739,360,000
  5. Step 5: Solve for x
    x = 20,476,350,739,360,000/65,877,524
  6. Step 6: Final answer
    x = 310,824,534.62

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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.