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Finding the Third Proportional to 129,427,240.50 and 174,921,503.06

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Solution

The third proportional to 129,427,240.50 and 174,921,503.06 is: 236,407,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,427,240.50 : 174,921,503.06 = 174,921,503.06 : x
  2. Step 2: Convert to fraction form
    129,427,240.50/174,921,503.06 = 174,921,503.06/x
  3. Step 3: Cross multiply
    129,427,240.50x = 174,921,503.06 × 174,921,503.06
  4. Step 4: Simplify right side
    129,427,240.50x = 30,597,532,233,644,196
  5. Step 5: Solve for x
    x = 30,597,532,233,644,196/129,427,240.50
  6. Step 6: Final answer
    x = 236,407,205.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.