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Finding the Third Proportional to 65,817,850 and 141,750,576

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Solution

The third proportional to 65,817,850 and 141,750,576 is: 305,285,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817,850 : 141,750,576 = 141,750,576 : x
  2. Step 2: Convert to fraction form
    65,817,850/141,750,576 = 141,750,576/x
  3. Step 3: Cross multiply
    65,817,850x = 141,750,576 × 141,750,576
  4. Step 4: Simplify right side
    65,817,850x = 20,093,225,796,331,776
  5. Step 5: Solve for x
    x = 20,093,225,796,331,776/65,817,850
  6. Step 6: Final answer
    x = 305,285,356.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.