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Finding the Third Proportional to 71,627,020.50 and 153,465,811.50

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Solution

The third proportional to 71,627,020.50 and 153,465,811.50 is: 328,811,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,627,020.50 : 153,465,811.50 = 153,465,811.50 : x
  2. Step 2: Convert to fraction form
    71,627,020.50/153,465,811.50 = 153,465,811.50/x
  3. Step 3: Cross multiply
    71,627,020.50x = 153,465,811.50 × 153,465,811.50
  4. Step 4: Simplify right side
    71,627,020.50x = 23,551,755,299,353,532
  5. Step 5: Solve for x
    x = 23,551,755,299,353,532/71,627,020.50
  6. Step 6: Final answer
    x = 328,811,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.