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Finding the Third Proportional to 126,861,154 and 201,863,130.50

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Solution

The third proportional to 126,861,154 and 201,863,130.50 is: 321,207,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,861,154 : 201,863,130.50 = 201,863,130.50 : x
  2. Step 2: Convert to fraction form
    126,861,154/201,863,130.50 = 201,863,130.50/x
  3. Step 3: Cross multiply
    126,861,154x = 201,863,130.50 × 201,863,130.50
  4. Step 4: Simplify right side
    126,861,154x = 40,748,723,455,260,032
  5. Step 5: Solve for x
    x = 40,748,723,455,260,032/126,861,154
  6. Step 6: Final answer
    x = 321,207,258.25

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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.