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Finding the Third Proportional to 126,861,152 and 201,863,127.50

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Solution

The third proportional to 126,861,152 and 201,863,127.50 is: 321,207,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,861,152 : 201,863,127.50 = 201,863,127.50 : x
  2. Step 2: Convert to fraction form
    126,861,152/201,863,127.50 = 201,863,127.50/x
  3. Step 3: Cross multiply
    126,861,152x = 201,863,127.50 × 201,863,127.50
  4. Step 4: Simplify right side
    126,861,152x = 40,748,722,244,081,256
  5. Step 5: Solve for x
    x = 40,748,722,244,081,256/126,861,152
  6. Step 6: Final answer
    x = 321,207,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.