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Finding the Third Proportional to 126,399,984 and 188,771,688

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Solution

The third proportional to 126,399,984 and 188,771,688 is: 281,920,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,399,984 : 188,771,688 = 188,771,688 : x
  2. Step 2: Convert to fraction form
    126,399,984/188,771,688 = 188,771,688/x
  3. Step 3: Cross multiply
    126,399,984x = 188,771,688 × 188,771,688
  4. Step 4: Simplify right side
    126,399,984x = 35,634,750,190,369,344
  5. Step 5: Solve for x
    x = 35,634,750,190,369,344/126,399,984
  6. Step 6: Final answer
    x = 281,920,527.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.