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Finding the Third Proportional to 65,733,968 and 102,580,364

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Solution

The third proportional to 65,733,968 and 102,580,364 is: 160,080,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,968 : 102,580,364 = 102,580,364 : x
  2. Step 2: Convert to fraction form
    65,733,968/102,580,364 = 102,580,364/x
  3. Step 3: Cross multiply
    65,733,968x = 102,580,364 × 102,580,364
  4. Step 4: Simplify right side
    65,733,968x = 10,522,731,078,372,496
  5. Step 5: Solve for x
    x = 10,522,731,078,372,496/65,733,968
  6. Step 6: Final answer
    x = 160,080,570.19

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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.