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Finding the Third Proportional to 65,733,920 and 102,580,292

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Solution

The third proportional to 65,733,920 and 102,580,292 is: 160,080,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,920 : 102,580,292 = 102,580,292 : x
  2. Step 2: Convert to fraction form
    65,733,920/102,580,292 = 102,580,292/x
  3. Step 3: Cross multiply
    65,733,920x = 102,580,292 × 102,580,292
  4. Step 4: Simplify right side
    65,733,920x = 10,522,716,306,805,264
  5. Step 5: Solve for x
    x = 10,522,716,306,805,264/65,733,920
  6. Step 6: Final answer
    x = 160,080,462.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.