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Finding the Third Proportional to 173,473,241,401.50 and 380,457,458,295

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Solution

The third proportional to 173,473,241,401.50 and 380,457,458,295 is: 834,410,404,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,473,241,401.50 : 380,457,458,295 = 380,457,458,295 : x
  2. Step 2: Convert to fraction form
    173,473,241,401.50/380,457,458,295 = 380,457,458,295/x
  3. Step 3: Cross multiply
    173,473,241,401.50x = 380,457,458,295 × 380,457,458,295
  4. Step 4: Simplify right side
    173,473,241,401.50x = 144,747,877,572,291,661,398,016
  5. Step 5: Solve for x
    x = 144,747,877,572,291,661,398,016/173,473,241,401.50
  6. Step 6: Final answer
    x = 834,410,404,756.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.