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Finding the Third Proportional to 240,095,025 and 535,395,674

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Solution

The third proportional to 240,095,025 and 535,395,674 is: 1,193,896,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,095,025 : 535,395,674 = 535,395,674 : x
  2. Step 2: Convert to fraction form
    240,095,025/535,395,674 = 535,395,674/x
  3. Step 3: Cross multiply
    240,095,025x = 535,395,674 × 535,395,674
  4. Step 4: Simplify right side
    240,095,025x = 286,648,527,737,914,272
  5. Step 5: Solve for x
    x = 286,648,527,737,914,272/240,095,025
  6. Step 6: Final answer
    x = 1,193,896,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.