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Finding the Third Proportional to 80,748,507 and 177,130,096

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Solution

The third proportional to 80,748,507 and 177,130,096 is: 388,552,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,507 : 177,130,096 = 177,130,096 : x
  2. Step 2: Convert to fraction form
    80,748,507/177,130,096 = 177,130,096/x
  3. Step 3: Cross multiply
    80,748,507x = 177,130,096 × 177,130,096
  4. Step 4: Simplify right side
    80,748,507x = 31,375,070,908,969,216
  5. Step 5: Solve for x
    x = 31,375,070,908,969,216/80,748,507
  6. Step 6: Final answer
    x = 388,552,953.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.